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Finding the Third Proportional to 129,109.50 and 278,613

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Solution

The third proportional to 129,109.50 and 278,613 is: 601,235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,109.50 : 278,613 = 278,613 : x
  2. Step 2: Convert to fraction form
    129,109.50/278,613 = 278,613/x
  3. Step 3: Cross multiply
    129,109.50x = 278,613 × 278,613
  4. Step 4: Simplify right side
    129,109.50x = 77,625,203,769
  5. Step 5: Solve for x
    x = 77,625,203,769/129,109.50
  6. Step 6: Final answer
    x = 601,235.41

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.