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Finding the Third Proportional to 81,799.88 and 120,005.93

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Solution

The third proportional to 81,799.88 and 120,005.93 is: 176,056.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,799.88 : 120,005.93 = 120,005.93 : x
  2. Step 2: Convert to fraction form
    81,799.88/120,005.93 = 120,005.93/x
  3. Step 3: Cross multiply
    81,799.88x = 120,005.93 × 120,005.93
  4. Step 4: Simplify right side
    81,799.88x = 14,401,423,160.16
  5. Step 5: Solve for x
    x = 14,401,423,160.16/81,799.88
  6. Step 6: Final answer
    x = 176,056.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.