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Finding the Third Proportional to 55,840.50 and 86,353.50

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Solution

The third proportional to 55,840.50 and 86,353.50 is: 133,539.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,840.50 : 86,353.50 = 86,353.50 : x
  2. Step 2: Convert to fraction form
    55,840.50/86,353.50 = 86,353.50/x
  3. Step 3: Cross multiply
    55,840.50x = 86,353.50 × 86,353.50
  4. Step 4: Simplify right side
    55,840.50x = 7,456,926,962.25
  5. Step 5: Solve for x
    x = 7,456,926,962.25/55,840.50
  6. Step 6: Final answer
    x = 133,539.76

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Why These Related Problems?

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