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Finding the Third Proportional to 55,598 and 83,879

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Solution

The third proportional to 55,598 and 83,879 is: 126,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,598 : 83,879 = 83,879 : x
  2. Step 2: Convert to fraction form
    55,598/83,879 = 83,879/x
  3. Step 3: Cross multiply
    55,598x = 83,879 × 83,879
  4. Step 4: Simplify right side
    55,598x = 7,035,686,641
  5. Step 5: Solve for x
    x = 7,035,686,641/55,598
  6. Step 6: Final answer
    x = 126,545.68

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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.