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Finding the Third Proportional to 55,371 and 83,042

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Solution

The third proportional to 55,371 and 83,042 is: 124,541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,371 : 83,042 = 83,042 : x
  2. Step 2: Convert to fraction form
    55,371/83,042 = 83,042/x
  3. Step 3: Cross multiply
    55,371x = 83,042 × 83,042
  4. Step 4: Simplify right side
    55,371x = 6,895,973,764
  5. Step 5: Solve for x
    x = 6,895,973,764/55,371
  6. Step 6: Final answer
    x = 124,541.25

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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.