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Finding the Third Proportional to 52,146 and 80,391

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Solution

The third proportional to 52,146 and 80,391 is: 123,934.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,146 : 80,391 = 80,391 : x
  2. Step 2: Convert to fraction form
    52,146/80,391 = 80,391/x
  3. Step 3: Cross multiply
    52,146x = 80,391 × 80,391
  4. Step 4: Simplify right side
    52,146x = 6,462,712,881
  5. Step 5: Solve for x
    x = 6,462,712,881/52,146
  6. Step 6: Final answer
    x = 123,934.97

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.