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Finding the Third Proportional to 61,469 and 96,007.50

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Solution

The third proportional to 61,469 and 96,007.50 is: 149,952.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,469 : 96,007.50 = 96,007.50 : x
  2. Step 2: Convert to fraction form
    61,469/96,007.50 = 96,007.50/x
  3. Step 3: Cross multiply
    61,469x = 96,007.50 × 96,007.50
  4. Step 4: Simplify right side
    61,469x = 9,217,440,056.25
  5. Step 5: Solve for x
    x = 9,217,440,056.25/61,469
  6. Step 6: Final answer
    x = 149,952.66

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.