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Finding the Third Proportional to 70,125.38 and 152,139.75

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Solution

The third proportional to 70,125.38 and 152,139.75 is: 330,073.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,125.38 : 152,139.75 = 152,139.75 : x
  2. Step 2: Convert to fraction form
    70,125.38/152,139.75 = 152,139.75/x
  3. Step 3: Cross multiply
    70,125.38x = 152,139.75 × 152,139.75
  4. Step 4: Simplify right side
    70,125.38x = 23,146,503,530.06
  5. Step 5: Solve for x
    x = 23,146,503,530.06/70,125.38
  6. Step 6: Final answer
    x = 330,073.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.