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Finding the Third Proportional to 51,297 and 77,283

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Solution

The third proportional to 51,297 and 77,283 is: 116,432.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,297 : 77,283 = 77,283 : x
  2. Step 2: Convert to fraction form
    51,297/77,283 = 77,283/x
  3. Step 3: Cross multiply
    51,297x = 77,283 × 77,283
  4. Step 4: Simplify right side
    51,297x = 5,972,662,089
  5. Step 5: Solve for x
    x = 5,972,662,089/51,297
  6. Step 6: Final answer
    x = 116,432.97

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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.