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Finding the Third Proportional to 147,073 and 207,109

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Solution

The third proportional to 147,073 and 207,109 is: 291,652.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,073 : 207,109 = 207,109 : x
  2. Step 2: Convert to fraction form
    147,073/207,109 = 207,109/x
  3. Step 3: Cross multiply
    147,073x = 207,109 × 207,109
  4. Step 4: Simplify right side
    147,073x = 42,894,137,881
  5. Step 5: Solve for x
    x = 42,894,137,881/147,073
  6. Step 6: Final answer
    x = 291,652.02

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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.