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Finding the Third Proportional to 135,132.75 and 207,280.13

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Solution

The third proportional to 135,132.75 and 207,280.13 is: 317,946.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,132.75 : 207,280.13 = 207,280.13 : x
  2. Step 2: Convert to fraction form
    135,132.75/207,280.13 = 207,280.13/x
  3. Step 3: Cross multiply
    135,132.75x = 207,280.13 × 207,280.13
  4. Step 4: Simplify right side
    135,132.75x = 42,965,050,220.02
  5. Step 5: Solve for x
    x = 42,965,050,220.02/135,132.75
  6. Step 6: Final answer
    x = 317,946.98

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.