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Finding the Third Proportional to 65,775.38 and 102,508.88

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Solution

The third proportional to 65,775.38 and 102,508.88 is: 159,756.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,775.38 : 102,508.88 = 102,508.88 : x
  2. Step 2: Convert to fraction form
    65,775.38/102,508.88 = 102,508.88/x
  3. Step 3: Cross multiply
    65,775.38x = 102,508.88 × 102,508.88
  4. Step 4: Simplify right side
    65,775.38x = 10,508,069,453.77
  5. Step 5: Solve for x
    x = 10,508,069,453.77/65,775.38
  6. Step 6: Final answer
    x = 159,756.89

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.