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Finding the Third Proportional to 92,076.75 and 138,457.13

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Solution

The third proportional to 92,076.75 and 138,457.13 is: 208,199.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,076.75 : 138,457.13 = 138,457.13 : x
  2. Step 2: Convert to fraction form
    92,076.75/138,457.13 = 138,457.13/x
  3. Step 3: Cross multiply
    92,076.75x = 138,457.13 × 138,457.13
  4. Step 4: Simplify right side
    92,076.75x = 19,170,375,463.27
  5. Step 5: Solve for x
    x = 19,170,375,463.27/92,076.75
  6. Step 6: Final answer
    x = 208,199.96

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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.