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Finding the Third Proportional to 51,376 and 77,434

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Solution

The third proportional to 51,376 and 77,434 is: 116,708.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,376 : 77,434 = 77,434 : x
  2. Step 2: Convert to fraction form
    51,376/77,434 = 77,434/x
  3. Step 3: Cross multiply
    51,376x = 77,434 × 77,434
  4. Step 4: Simplify right side
    51,376x = 5,996,024,356
  5. Step 5: Solve for x
    x = 5,996,024,356/51,376
  6. Step 6: Final answer
    x = 116,708.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.