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Finding the Third Proportional to 75,200.63 and 160,551.75

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Solution

The third proportional to 75,200.63 and 160,551.75 is: 342,774.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,200.63 : 160,551.75 = 160,551.75 : x
  2. Step 2: Convert to fraction form
    75,200.63/160,551.75 = 160,551.75/x
  3. Step 3: Cross multiply
    75,200.63x = 160,551.75 × 160,551.75
  4. Step 4: Simplify right side
    75,200.63x = 25,776,864,428.06
  5. Step 5: Solve for x
    x = 25,776,864,428.06/75,200.63
  6. Step 6: Final answer
    x = 342,774.60

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.