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Finding the Third Proportional to 58,082.06 and 127,580.06

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Solution

The third proportional to 58,082.06 and 127,580.06 is: 280,235.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,082.06 : 127,580.06 = 127,580.06 : x
  2. Step 2: Convert to fraction form
    58,082.06/127,580.06 = 127,580.06/x
  3. Step 3: Cross multiply
    58,082.06x = 127,580.06 × 127,580.06
  4. Step 4: Simplify right side
    58,082.06x = 16,276,672,347.50
  5. Step 5: Solve for x
    x = 16,276,672,347.50/58,082.06
  6. Step 6: Final answer
    x = 280,235.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.