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Finding the Third Proportional to 65,691 and 148,918.50

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Solution

The third proportional to 65,691 and 148,918.50 is: 337,591.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,691 : 148,918.50 = 148,918.50 : x
  2. Step 2: Convert to fraction form
    65,691/148,918.50 = 148,918.50/x
  3. Step 3: Cross multiply
    65,691x = 148,918.50 × 148,918.50
  4. Step 4: Simplify right side
    65,691x = 22,176,719,642.25
  5. Step 5: Solve for x
    x = 22,176,719,642.25/65,691
  6. Step 6: Final answer
    x = 337,591.45

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.