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Finding the Third Proportional to 109,734.75 and 174,119.63

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Solution

The third proportional to 109,734.75 and 174,119.63 is: 276,281.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,734.75 : 174,119.63 = 174,119.63 : x
  2. Step 2: Convert to fraction form
    109,734.75/174,119.63 = 174,119.63/x
  3. Step 3: Cross multiply
    109,734.75x = 174,119.63 × 174,119.63
  4. Step 4: Simplify right side
    109,734.75x = 30,317,643,810.14
  5. Step 5: Solve for x
    x = 30,317,643,810.14/109,734.75
  6. Step 6: Final answer
    x = 276,281.16

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.