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Finding the Third Proportional to 60,999 and 97,398

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Solution

The third proportional to 60,999 and 97,398 is: 155,516.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,999 : 97,398 = 97,398 : x
  2. Step 2: Convert to fraction form
    60,999/97,398 = 97,398/x
  3. Step 3: Cross multiply
    60,999x = 97,398 × 97,398
  4. Step 4: Simplify right side
    60,999x = 9,486,370,404
  5. Step 5: Solve for x
    x = 9,486,370,404/60,999
  6. Step 6: Final answer
    x = 155,516.82

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.