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Finding the Third Proportional to 58,281.75 and 125,058

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Solution

The third proportional to 58,281.75 and 125,058 is: 268,343.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,281.75 : 125,058 = 125,058 : x
  2. Step 2: Convert to fraction form
    58,281.75/125,058 = 125,058/x
  3. Step 3: Cross multiply
    58,281.75x = 125,058 × 125,058
  4. Step 4: Simplify right side
    58,281.75x = 15,639,503,364
  5. Step 5: Solve for x
    x = 15,639,503,364/58,281.75
  6. Step 6: Final answer
    x = 268,343.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.