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Finding the Third Proportional to 81,292 and 125,108.50

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Solution

The third proportional to 81,292 and 125,108.50 is: 192,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,292 : 125,108.50 = 125,108.50 : x
  2. Step 2: Convert to fraction form
    81,292/125,108.50 = 125,108.50/x
  3. Step 3: Cross multiply
    81,292x = 125,108.50 × 125,108.50
  4. Step 4: Simplify right side
    81,292x = 15,652,136,772.25
  5. Step 5: Solve for x
    x = 15,652,136,772.25/81,292
  6. Step 6: Final answer
    x = 192,542.15

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.