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Finding the Third Proportional to 65,856 and 99,352

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Solution

The third proportional to 65,856 and 99,352 is: 149,884.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,856 : 99,352 = 99,352 : x
  2. Step 2: Convert to fraction form
    65,856/99,352 = 99,352/x
  3. Step 3: Cross multiply
    65,856x = 99,352 × 99,352
  4. Step 4: Simplify right side
    65,856x = 9,870,819,904
  5. Step 5: Solve for x
    x = 9,870,819,904/65,856
  6. Step 6: Final answer
    x = 149,884.90

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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.