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Finding the Third Proportional to 92,484.50 and 138,739

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Solution

The third proportional to 92,484.50 and 138,739 is: 208,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,484.50 : 138,739 = 138,739 : x
  2. Step 2: Convert to fraction form
    92,484.50/138,739 = 138,739/x
  3. Step 3: Cross multiply
    92,484.50x = 138,739 × 138,739
  4. Step 4: Simplify right side
    92,484.50x = 19,248,510,121
  5. Step 5: Solve for x
    x = 19,248,510,121/92,484.50
  6. Step 6: Final answer
    x = 208,126.88

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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.