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Finding the Third Proportional to 66,031 and 98,806

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Solution

The third proportional to 66,031 and 98,806 is: 147,849.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,031 : 98,806 = 98,806 : x
  2. Step 2: Convert to fraction form
    66,031/98,806 = 98,806/x
  3. Step 3: Cross multiply
    66,031x = 98,806 × 98,806
  4. Step 4: Simplify right side
    66,031x = 9,762,625,636
  5. Step 5: Solve for x
    x = 9,762,625,636/66,031
  6. Step 6: Final answer
    x = 147,849.13

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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.