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Finding the Third Proportional to 56,040 and 86,767

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Solution

The third proportional to 56,040 and 86,767 is: 134,341.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,040 : 86,767 = 86,767 : x
  2. Step 2: Convert to fraction form
    56,040/86,767 = 86,767/x
  3. Step 3: Cross multiply
    56,040x = 86,767 × 86,767
  4. Step 4: Simplify right side
    56,040x = 7,528,512,289
  5. Step 5: Solve for x
    x = 7,528,512,289/56,040
  6. Step 6: Final answer
    x = 134,341.76

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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.