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Finding the Third Proportional to 74,854.69 and 162,343.69

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Solution

The third proportional to 74,854.69 and 162,343.69 is: 352,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,854.69 : 162,343.69 = 162,343.69 : x
  2. Step 2: Convert to fraction form
    74,854.69/162,343.69 = 162,343.69/x
  3. Step 3: Cross multiply
    74,854.69x = 162,343.69 × 162,343.69
  4. Step 4: Simplify right side
    74,854.69x = 26,355,472,871.10
  5. Step 5: Solve for x
    x = 26,355,472,871.10/74,854.69
  6. Step 6: Final answer
    x = 352,088.48

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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.