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Finding the Third Proportional to 82,299.38 and 110,570.06

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Solution

The third proportional to 82,299.38 and 110,570.06 is: 148,552.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,299.38 : 110,570.06 = 110,570.06 : x
  2. Step 2: Convert to fraction form
    82,299.38/110,570.06 = 110,570.06/x
  3. Step 3: Cross multiply
    82,299.38x = 110,570.06 × 110,570.06
  4. Step 4: Simplify right side
    82,299.38x = 12,225,738,721.25
  5. Step 5: Solve for x
    x = 12,225,738,721.25/82,299.38
  6. Step 6: Final answer
    x = 148,552.02

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These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.