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Finding the Third Proportional to 51,306 and 77,640

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Solution

The third proportional to 51,306 and 77,640 is: 117,490.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,306 : 77,640 = 77,640 : x
  2. Step 2: Convert to fraction form
    51,306/77,640 = 77,640/x
  3. Step 3: Cross multiply
    51,306x = 77,640 × 77,640
  4. Step 4: Simplify right side
    51,306x = 6,027,969,600
  5. Step 5: Solve for x
    x = 6,027,969,600/51,306
  6. Step 6: Final answer
    x = 117,490.54

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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.