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Finding the Third Proportional to 26,542 and 58,190

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Solution

The third proportional to 26,542 and 58,190 is: 127,574.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,542 : 58,190 = 58,190 : x
  2. Step 2: Convert to fraction form
    26,542/58,190 = 58,190/x
  3. Step 3: Cross multiply
    26,542x = 58,190 × 58,190
  4. Step 4: Simplify right side
    26,542x = 3,386,076,100
  5. Step 5: Solve for x
    x = 3,386,076,100/26,542
  6. Step 6: Final answer
    x = 127,574.26

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.