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Finding the Third Proportional to 67,289 and 141,550

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Solution

The third proportional to 67,289 and 141,550 is: 297,766.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,289 : 141,550 = 141,550 : x
  2. Step 2: Convert to fraction form
    67,289/141,550 = 141,550/x
  3. Step 3: Cross multiply
    67,289x = 141,550 × 141,550
  4. Step 4: Simplify right side
    67,289x = 20,036,402,500
  5. Step 5: Solve for x
    x = 20,036,402,500/67,289
  6. Step 6: Final answer
    x = 297,766.39

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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.