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Finding the Third Proportional to 72,842.63 and 112,498.88

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Solution

The third proportional to 72,842.63 and 112,498.88 is: 173,744.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,842.63 : 112,498.88 = 112,498.88 : x
  2. Step 2: Convert to fraction form
    72,842.63/112,498.88 = 112,498.88/x
  3. Step 3: Cross multiply
    72,842.63x = 112,498.88 × 112,498.88
  4. Step 4: Simplify right side
    72,842.63x = 12,655,996,876.27
  5. Step 5: Solve for x
    x = 12,655,996,876.27/72,842.63
  6. Step 6: Final answer
    x = 173,744.38

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.