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Finding the Third Proportional to 95,051 and 142,291

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Solution

The third proportional to 95,051 and 142,291 is: 213,009.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,051 : 142,291 = 142,291 : x
  2. Step 2: Convert to fraction form
    95,051/142,291 = 142,291/x
  3. Step 3: Cross multiply
    95,051x = 142,291 × 142,291
  4. Step 4: Simplify right side
    95,051x = 20,246,728,681
  5. Step 5: Solve for x
    x = 20,246,728,681/95,051
  6. Step 6: Final answer
    x = 213,009.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.