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Finding the Third Proportional to 136,060 and 204,609

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Solution

The third proportional to 136,060 and 204,609 is: 307,693.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,060 : 204,609 = 204,609 : x
  2. Step 2: Convert to fraction form
    136,060/204,609 = 204,609/x
  3. Step 3: Cross multiply
    136,060x = 204,609 × 204,609
  4. Step 4: Simplify right side
    136,060x = 41,864,842,881
  5. Step 5: Solve for x
    x = 41,864,842,881/136,060
  6. Step 6: Final answer
    x = 307,693.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.