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Finding the Third Proportional to 95,352 and 140,070

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Solution

The third proportional to 95,352 and 140,070 is: 205,759.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,352 : 140,070 = 140,070 : x
  2. Step 2: Convert to fraction form
    95,352/140,070 = 140,070/x
  3. Step 3: Cross multiply
    95,352x = 140,070 × 140,070
  4. Step 4: Simplify right side
    95,352x = 19,619,604,900
  5. Step 5: Solve for x
    x = 19,619,604,900/95,352
  6. Step 6: Final answer
    x = 205,759.76

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