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Finding the Third Proportional to 109,656 and 174,465

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Solution

The third proportional to 109,656 and 174,465 is: 277,577.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,656 : 174,465 = 174,465 : x
  2. Step 2: Convert to fraction form
    109,656/174,465 = 174,465/x
  3. Step 3: Cross multiply
    109,656x = 174,465 × 174,465
  4. Step 4: Simplify right side
    109,656x = 30,438,036,225
  5. Step 5: Solve for x
    x = 30,438,036,225/109,656
  6. Step 6: Final answer
    x = 277,577.48

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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.