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Finding the Third Proportional to 61,031.25 and 91,487.25

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Solution

The third proportional to 61,031.25 and 91,487.25 is: 137,141.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,031.25 : 91,487.25 = 91,487.25 : x
  2. Step 2: Convert to fraction form
    61,031.25/91,487.25 = 91,487.25/x
  3. Step 3: Cross multiply
    61,031.25x = 91,487.25 × 91,487.25
  4. Step 4: Simplify right side
    61,031.25x = 8,369,916,912.56
  5. Step 5: Solve for x
    x = 8,369,916,912.56/61,031.25
  6. Step 6: Final answer
    x = 137,141.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.