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Finding the Third Proportional to 107,952 and 167,580

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Solution

The third proportional to 107,952 and 167,580 is: 260,143.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,952 : 167,580 = 167,580 : x
  2. Step 2: Convert to fraction form
    107,952/167,580 = 167,580/x
  3. Step 3: Cross multiply
    107,952x = 167,580 × 167,580
  4. Step 4: Simplify right side
    107,952x = 28,083,056,400
  5. Step 5: Solve for x
    x = 28,083,056,400/107,952
  6. Step 6: Final answer
    x = 260,143.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.