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Finding the Third Proportional to 62,164 and 98,585

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Solution

The third proportional to 62,164 and 98,585 is: 156,344.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,164 : 98,585 = 98,585 : x
  2. Step 2: Convert to fraction form
    62,164/98,585 = 98,585/x
  3. Step 3: Cross multiply
    62,164x = 98,585 × 98,585
  4. Step 4: Simplify right side
    62,164x = 9,719,002,225
  5. Step 5: Solve for x
    x = 9,719,002,225/62,164
  6. Step 6: Final answer
    x = 156,344.54

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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.