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Finding the Third Proportional to 57,130 and 123,764

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Solution

The third proportional to 57,130 and 123,764 is: 268,117.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,130 : 123,764 = 123,764 : x
  2. Step 2: Convert to fraction form
    57,130/123,764 = 123,764/x
  3. Step 3: Cross multiply
    57,130x = 123,764 × 123,764
  4. Step 4: Simplify right side
    57,130x = 15,317,527,696
  5. Step 5: Solve for x
    x = 15,317,527,696/57,130
  6. Step 6: Final answer
    x = 268,117.06

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.