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Finding the Third Proportional to 101,806 and 149,658

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Solution

The third proportional to 101,806 and 149,658 is: 220,001.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,806 : 149,658 = 149,658 : x
  2. Step 2: Convert to fraction form
    101,806/149,658 = 149,658/x
  3. Step 3: Cross multiply
    101,806x = 149,658 × 149,658
  4. Step 4: Simplify right side
    101,806x = 22,397,516,964
  5. Step 5: Solve for x
    x = 22,397,516,964/101,806
  6. Step 6: Final answer
    x = 220,001.93

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.