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Finding the Third Proportional to 61,435 and 97,687.50

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Solution

The third proportional to 61,435 and 97,687.50 is: 155,332.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,435 : 97,687.50 = 97,687.50 : x
  2. Step 2: Convert to fraction form
    61,435/97,687.50 = 97,687.50/x
  3. Step 3: Cross multiply
    61,435x = 97,687.50 × 97,687.50
  4. Step 4: Simplify right side
    61,435x = 9,542,847,656.25
  5. Step 5: Solve for x
    x = 9,542,847,656.25/61,435
  6. Step 6: Final answer
    x = 155,332.43

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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.