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Finding the Third Proportional to 67,124 and 141,154

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Solution

The third proportional to 67,124 and 141,154 is: 296,830.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,124 : 141,154 = 141,154 : x
  2. Step 2: Convert to fraction form
    67,124/141,154 = 141,154/x
  3. Step 3: Cross multiply
    67,124x = 141,154 × 141,154
  4. Step 4: Simplify right side
    67,124x = 19,924,451,716
  5. Step 5: Solve for x
    x = 19,924,451,716/67,124
  6. Step 6: Final answer
    x = 296,830.52

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.