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Finding the Third Proportional to 51,350 and 110,076

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Solution

The third proportional to 51,350 and 110,076 is: 235,963.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,350 : 110,076 = 110,076 : x
  2. Step 2: Convert to fraction form
    51,350/110,076 = 110,076/x
  3. Step 3: Cross multiply
    51,350x = 110,076 × 110,076
  4. Step 4: Simplify right side
    51,350x = 12,116,725,776
  5. Step 5: Solve for x
    x = 12,116,725,776/51,350
  6. Step 6: Final answer
    x = 235,963.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.