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Finding the Third Proportional to 74,631.38 and 109,744.88

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Solution

The third proportional to 74,631.38 and 109,744.88 is: 161,379.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,631.38 : 109,744.88 = 109,744.88 : x
  2. Step 2: Convert to fraction form
    74,631.38/109,744.88 = 109,744.88/x
  3. Step 3: Cross multiply
    74,631.38x = 109,744.88 × 109,744.88
  4. Step 4: Simplify right side
    74,631.38x = 12,043,937,588.77
  5. Step 5: Solve for x
    x = 12,043,937,588.77/74,631.38
  6. Step 6: Final answer
    x = 161,379.01

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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.