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Finding the Third Proportional to 55,714 and 83,585

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Solution

The third proportional to 55,714 and 83,585 is: 125,398.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,714 : 83,585 = 83,585 : x
  2. Step 2: Convert to fraction form
    55,714/83,585 = 83,585/x
  3. Step 3: Cross multiply
    55,714x = 83,585 × 83,585
  4. Step 4: Simplify right side
    55,714x = 6,986,452,225
  5. Step 5: Solve for x
    x = 6,986,452,225/55,714
  6. Step 6: Final answer
    x = 125,398.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.