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Finding the Third Proportional to 147,068 and 207,098

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Solution

The third proportional to 147,068 and 207,098 is: 291,630.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,068 : 207,098 = 207,098 : x
  2. Step 2: Convert to fraction form
    147,068/207,098 = 207,098/x
  3. Step 3: Cross multiply
    147,068x = 207,098 × 207,098
  4. Step 4: Simplify right side
    147,068x = 42,889,581,604
  5. Step 5: Solve for x
    x = 42,889,581,604/147,068
  6. Step 6: Final answer
    x = 291,630.96

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.