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Finding the Third Proportional to 92,088.56 and 138,474.56

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Solution

The third proportional to 92,088.56 and 138,474.56 is: 208,225.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,088.56 : 138,474.56 = 138,474.56 : x
  2. Step 2: Convert to fraction form
    92,088.56/138,474.56 = 138,474.56/x
  3. Step 3: Cross multiply
    92,088.56x = 138,474.56 × 138,474.56
  4. Step 4: Simplify right side
    92,088.56x = 19,175,204,459.57
  5. Step 5: Solve for x
    x = 19,175,204,459.57/92,088.56
  6. Step 6: Final answer
    x = 208,225.69

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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.