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Finding the Third Proportional to 55,658.50 and 86,196.75

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Solution

The third proportional to 55,658.50 and 86,196.75 is: 133,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,658.50 : 86,196.75 = 86,196.75 : x
  2. Step 2: Convert to fraction form
    55,658.50/86,196.75 = 86,196.75/x
  3. Step 3: Cross multiply
    55,658.50x = 86,196.75 × 86,196.75
  4. Step 4: Simplify right side
    55,658.50x = 7,429,879,710.56
  5. Step 5: Solve for x
    x = 7,429,879,710.56/55,658.50
  6. Step 6: Final answer
    x = 133,490.48

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.