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Finding the Third Proportional to 51,437 and 77,277

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Solution

The third proportional to 51,437 and 77,277 is: 116,098.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,437 : 77,277 = 77,277 : x
  2. Step 2: Convert to fraction form
    51,437/77,277 = 77,277/x
  3. Step 3: Cross multiply
    51,437x = 77,277 × 77,277
  4. Step 4: Simplify right side
    51,437x = 5,971,734,729
  5. Step 5: Solve for x
    x = 5,971,734,729/51,437
  6. Step 6: Final answer
    x = 116,098.04

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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.