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Finding the Third Proportional to 91,545 and 138,609

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Solution

The third proportional to 91,545 and 138,609 is: 209,868.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,545 : 138,609 = 138,609 : x
  2. Step 2: Convert to fraction form
    91,545/138,609 = 138,609/x
  3. Step 3: Cross multiply
    91,545x = 138,609 × 138,609
  4. Step 4: Simplify right side
    91,545x = 19,212,454,881
  5. Step 5: Solve for x
    x = 19,212,454,881/91,545
  6. Step 6: Final answer
    x = 209,868.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.