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Finding the Third Proportional to 72,693 and 154,017

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Solution

The third proportional to 72,693 and 154,017 is: 326,320.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,693 : 154,017 = 154,017 : x
  2. Step 2: Convert to fraction form
    72,693/154,017 = 154,017/x
  3. Step 3: Cross multiply
    72,693x = 154,017 × 154,017
  4. Step 4: Simplify right side
    72,693x = 23,721,236,289
  5. Step 5: Solve for x
    x = 23,721,236,289/72,693
  6. Step 6: Final answer
    x = 326,320.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.