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Finding the Third Proportional to 55,928 and 84,707

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Solution

The third proportional to 55,928 and 84,707 is: 128,294.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,928 : 84,707 = 84,707 : x
  2. Step 2: Convert to fraction form
    55,928/84,707 = 84,707/x
  3. Step 3: Cross multiply
    55,928x = 84,707 × 84,707
  4. Step 4: Simplify right side
    55,928x = 7,175,275,849
  5. Step 5: Solve for x
    x = 7,175,275,849/55,928
  6. Step 6: Final answer
    x = 128,294.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.