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Finding the Third Proportional to 70,086.38 and 149,347.13

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Solution

The third proportional to 70,086.38 and 149,347.13 is: 318,243.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,086.38 : 149,347.13 = 149,347.13 : x
  2. Step 2: Convert to fraction form
    70,086.38/149,347.13 = 149,347.13/x
  3. Step 3: Cross multiply
    70,086.38x = 149,347.13 × 149,347.13
  4. Step 4: Simplify right side
    70,086.38x = 22,304,563,745.77
  5. Step 5: Solve for x
    x = 22,304,563,745.77/70,086.38
  6. Step 6: Final answer
    x = 318,243.93

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.