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Finding the Third Proportional to 55,960 and 86,776

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Solution

The third proportional to 55,960 and 86,776 is: 134,561.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,960 : 86,776 = 86,776 : x
  2. Step 2: Convert to fraction form
    55,960/86,776 = 86,776/x
  3. Step 3: Cross multiply
    55,960x = 86,776 × 86,776
  4. Step 4: Simplify right side
    55,960x = 7,530,074,176
  5. Step 5: Solve for x
    x = 7,530,074,176/55,960
  6. Step 6: Final answer
    x = 134,561.73

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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.