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Finding the Third Proportional to 81,799.88 and 112,433.06

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Solution

The third proportional to 81,799.88 and 112,433.06 is: 154,538.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,799.88 : 112,433.06 = 112,433.06 : x
  2. Step 2: Convert to fraction form
    81,799.88/112,433.06 = 112,433.06/x
  3. Step 3: Cross multiply
    81,799.88x = 112,433.06 × 112,433.06
  4. Step 4: Simplify right side
    81,799.88x = 12,641,193,543.13
  5. Step 5: Solve for x
    x = 12,641,193,543.13/81,799.88
  6. Step 6: Final answer
    x = 154,538.05

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.