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Finding the Third Proportional to 55,559 and 86,039.50

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Solution

The third proportional to 55,559 and 86,039.50 is: 133,242.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,559 : 86,039.50 = 86,039.50 : x
  2. Step 2: Convert to fraction form
    55,559/86,039.50 = 86,039.50/x
  3. Step 3: Cross multiply
    55,559x = 86,039.50 × 86,039.50
  4. Step 4: Simplify right side
    55,559x = 7,402,795,560.25
  5. Step 5: Solve for x
    x = 7,402,795,560.25/55,559
  6. Step 6: Final answer
    x = 133,242.06

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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.