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Finding the Third Proportional to 55,692.75 and 86,177.63

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Solution

The third proportional to 55,692.75 and 86,177.63 is: 133,349.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,692.75 : 86,177.63 = 86,177.63 : x
  2. Step 2: Convert to fraction form
    55,692.75/86,177.63 = 86,177.63/x
  3. Step 3: Cross multiply
    55,692.75x = 86,177.63 × 86,177.63
  4. Step 4: Simplify right side
    55,692.75x = 7,426,583,050.64
  5. Step 5: Solve for x
    x = 7,426,583,050.64/55,692.75
  6. Step 6: Final answer
    x = 133,349.19

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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.