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Finding the Third Proportional to 70,065.50 and 153,757

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Solution

The third proportional to 70,065.50 and 153,757 is: 337,415.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,065.50 : 153,757 = 153,757 : x
  2. Step 2: Convert to fraction form
    70,065.50/153,757 = 153,757/x
  3. Step 3: Cross multiply
    70,065.50x = 153,757 × 153,757
  4. Step 4: Simplify right side
    70,065.50x = 23,641,215,049
  5. Step 5: Solve for x
    x = 23,641,215,049/70,065.50
  6. Step 6: Final answer
    x = 337,415.92

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.