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Finding the Third Proportional to 74,854.13 and 162,298.69

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Solution

The third proportional to 74,854.13 and 162,298.69 is: 351,895.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,854.13 : 162,298.69 = 162,298.69 : x
  2. Step 2: Convert to fraction form
    74,854.13/162,298.69 = 162,298.69/x
  3. Step 3: Cross multiply
    74,854.13x = 162,298.69 × 162,298.69
  4. Step 4: Simplify right side
    74,854.13x = 26,340,863,964.22
  5. Step 5: Solve for x
    x = 26,340,863,964.22/74,854.13
  6. Step 6: Final answer
    x = 351,895.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.