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Finding the Third Proportional to 72,684 and 159,246

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Solution

The third proportional to 72,684 and 159,246 is: 348,897.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,684 : 159,246 = 159,246 : x
  2. Step 2: Convert to fraction form
    72,684/159,246 = 159,246/x
  3. Step 3: Cross multiply
    72,684x = 159,246 × 159,246
  4. Step 4: Simplify right side
    72,684x = 25,359,288,516
  5. Step 5: Solve for x
    x = 25,359,288,516/72,684
  6. Step 6: Final answer
    x = 348,897.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.