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Finding the Third Proportional to 92,188.13 and 138,297.38

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Solution

The third proportional to 92,188.13 and 138,297.38 is: 207,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,188.13 : 138,297.38 = 138,297.38 : x
  2. Step 2: Convert to fraction form
    92,188.13/138,297.38 = 138,297.38/x
  3. Step 3: Cross multiply
    92,188.13x = 138,297.38 × 138,297.38
  4. Step 4: Simplify right side
    92,188.13x = 19,126,163,931.89
  5. Step 5: Solve for x
    x = 19,126,163,931.89/92,188.13
  6. Step 6: Final answer
    x = 207,468.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.