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Finding the Third Proportional to 72,499 and 161,846

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Solution

The third proportional to 72,499 and 161,846 is: 361,303.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,499 : 161,846 = 161,846 : x
  2. Step 2: Convert to fraction form
    72,499/161,846 = 161,846/x
  3. Step 3: Cross multiply
    72,499x = 161,846 × 161,846
  4. Step 4: Simplify right side
    72,499x = 26,194,127,716
  5. Step 5: Solve for x
    x = 26,194,127,716/72,499
  6. Step 6: Final answer
    x = 361,303.30

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.