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Finding the Third Proportional to 74,614.71 and 161,045.72

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Solution

The third proportional to 74,614.71 and 161,045.72 is: 347,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,614.71 : 161,045.72 = 161,045.72 : x
  2. Step 2: Convert to fraction form
    74,614.71/161,045.72 = 161,045.72/x
  3. Step 3: Cross multiply
    74,614.71x = 161,045.72 × 161,045.72
  4. Step 4: Simplify right side
    74,614.71x = 25,935,723,527.70
  5. Step 5: Solve for x
    x = 25,935,723,527.70/74,614.71
  6. Step 6: Final answer
    x = 347,595.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.