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Finding the Third Proportional to 83,781 and 124,017.75

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Solution

The third proportional to 83,781 and 124,017.75 is: 183,578.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,781 : 124,017.75 = 124,017.75 : x
  2. Step 2: Convert to fraction form
    83,781/124,017.75 = 124,017.75/x
  3. Step 3: Cross multiply
    83,781x = 124,017.75 × 124,017.75
  4. Step 4: Simplify right side
    83,781x = 15,380,402,315.06
  5. Step 5: Solve for x
    x = 15,380,402,315.06/83,781
  6. Step 6: Final answer
    x = 183,578.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.