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Finding the Third Proportional to 95,157 and 142,506

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Solution

The third proportional to 95,157 and 142,506 is: 213,415.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,157 : 142,506 = 142,506 : x
  2. Step 2: Convert to fraction form
    95,157/142,506 = 142,506/x
  3. Step 3: Cross multiply
    95,157x = 142,506 × 142,506
  4. Step 4: Simplify right side
    95,157x = 20,307,960,036
  5. Step 5: Solve for x
    x = 20,307,960,036/95,157
  6. Step 6: Final answer
    x = 213,415.30

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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.