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Finding the Third Proportional to 56,144 and 86,277

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Solution

The third proportional to 56,144 and 86,277 is: 132,582.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,144 : 86,277 = 86,277 : x
  2. Step 2: Convert to fraction form
    56,144/86,277 = 86,277/x
  3. Step 3: Cross multiply
    56,144x = 86,277 × 86,277
  4. Step 4: Simplify right side
    56,144x = 7,443,720,729
  5. Step 5: Solve for x
    x = 7,443,720,729/56,144
  6. Step 6: Final answer
    x = 132,582.66

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.