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Finding the Third Proportional to 96,094 and 152,691

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Solution

The third proportional to 96,094 and 152,691 is: 242,622.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,094 : 152,691 = 152,691 : x
  2. Step 2: Convert to fraction form
    96,094/152,691 = 152,691/x
  3. Step 3: Cross multiply
    96,094x = 152,691 × 152,691
  4. Step 4: Simplify right side
    96,094x = 23,314,541,481
  5. Step 5: Solve for x
    x = 23,314,541,481/96,094
  6. Step 6: Final answer
    x = 242,622.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.