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Finding the Third Proportional to 74,842.88 and 113,041.13

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Solution

The third proportional to 74,842.88 and 113,041.13 is: 170,734.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,842.88 : 113,041.13 = 113,041.13 : x
  2. Step 2: Convert to fraction form
    74,842.88/113,041.13 = 113,041.13/x
  3. Step 3: Cross multiply
    74,842.88x = 113,041.13 × 113,041.13
  4. Step 4: Simplify right side
    74,842.88x = 12,778,295,941.27
  5. Step 5: Solve for x
    x = 12,778,295,941.27/74,842.88
  6. Step 6: Final answer
    x = 170,734.97

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.