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Finding the Third Proportional to 71,590.13 and 148,996.13

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Solution

The third proportional to 71,590.13 and 148,996.13 is: 310,096.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,590.13 : 148,996.13 = 148,996.13 : x
  2. Step 2: Convert to fraction form
    71,590.13/148,996.13 = 148,996.13/x
  3. Step 3: Cross multiply
    71,590.13x = 148,996.13 × 148,996.13
  4. Step 4: Simplify right side
    71,590.13x = 22,199,845,265.02
  5. Step 5: Solve for x
    x = 22,199,845,265.02/71,590.13
  6. Step 6: Final answer
    x = 310,096.47

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.