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Finding the Third Proportional to 139,475 and 207,160

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Solution

The third proportional to 139,475 and 207,160 is: 307,691.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,475 : 207,160 = 207,160 : x
  2. Step 2: Convert to fraction form
    139,475/207,160 = 207,160/x
  3. Step 3: Cross multiply
    139,475x = 207,160 × 207,160
  4. Step 4: Simplify right side
    139,475x = 42,915,265,600
  5. Step 5: Solve for x
    x = 42,915,265,600/139,475
  6. Step 6: Final answer
    x = 307,691.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.