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Finding the Third Proportional to 89,301 and 136,045

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Solution

The third proportional to 89,301 and 136,045 is: 207,256.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,301 : 136,045 = 136,045 : x
  2. Step 2: Convert to fraction form
    89,301/136,045 = 136,045/x
  3. Step 3: Cross multiply
    89,301x = 136,045 × 136,045
  4. Step 4: Simplify right side
    89,301x = 18,508,242,025
  5. Step 5: Solve for x
    x = 18,508,242,025/89,301
  6. Step 6: Final answer
    x = 207,256.83

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.