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Finding the Third Proportional to 53,427 and 83,057

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Solution

The third proportional to 53,427 and 83,057 is: 129,119.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,427 : 83,057 = 83,057 : x
  2. Step 2: Convert to fraction form
    53,427/83,057 = 83,057/x
  3. Step 3: Cross multiply
    53,427x = 83,057 × 83,057
  4. Step 4: Simplify right side
    53,427x = 6,898,465,249
  5. Step 5: Solve for x
    x = 6,898,465,249/53,427
  6. Step 6: Final answer
    x = 129,119.46

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.