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Finding the Third Proportional to 59,175.38 and 83,234.06

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Solution

The third proportional to 59,175.38 and 83,234.06 is: 117,074.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,175.38 : 83,234.06 = 83,234.06 : x
  2. Step 2: Convert to fraction form
    59,175.38/83,234.06 = 83,234.06/x
  3. Step 3: Cross multiply
    59,175.38x = 83,234.06 × 83,234.06
  4. Step 4: Simplify right side
    59,175.38x = 6,927,909,160.25
  5. Step 5: Solve for x
    x = 6,927,909,160.25/59,175.38
  6. Step 6: Final answer
    x = 117,074.19

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.