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Finding the Third Proportional to 70,098.75 and 148,960.69

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Solution

The third proportional to 70,098.75 and 148,960.69 is: 316,543.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,098.75 : 148,960.69 = 148,960.69 : x
  2. Step 2: Convert to fraction form
    70,098.75/148,960.69 = 148,960.69/x
  3. Step 3: Cross multiply
    70,098.75x = 148,960.69 × 148,960.69
  4. Step 4: Simplify right side
    70,098.75x = 22,189,286,420.47
  5. Step 5: Solve for x
    x = 22,189,286,420.47/70,098.75
  6. Step 6: Final answer
    x = 316,543.25

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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.