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Finding the Third Proportional to 58,126.13 and 82,270.88

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Solution

The third proportional to 58,126.13 and 82,270.88 is: 116,445.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,126.13 : 82,270.88 = 82,270.88 : x
  2. Step 2: Convert to fraction form
    58,126.13/82,270.88 = 82,270.88/x
  3. Step 3: Cross multiply
    58,126.13x = 82,270.88 × 82,270.88
  4. Step 4: Simplify right side
    58,126.13x = 6,768,496,873.27
  5. Step 5: Solve for x
    x = 6,768,496,873.27/58,126.13
  6. Step 6: Final answer
    x = 116,445.00

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.