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Finding the Third Proportional to 56,916 and 85,557

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Solution

The third proportional to 56,916 and 85,557 is: 128,610.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,916 : 85,557 = 85,557 : x
  2. Step 2: Convert to fraction form
    56,916/85,557 = 85,557/x
  3. Step 3: Cross multiply
    56,916x = 85,557 × 85,557
  4. Step 4: Simplify right side
    56,916x = 7,320,000,249
  5. Step 5: Solve for x
    x = 7,320,000,249/56,916
  6. Step 6: Final answer
    x = 128,610.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.