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Finding the Third Proportional to 96,246 and 148,126

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Solution

The third proportional to 96,246 and 148,126 is: 227,971.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,246 : 148,126 = 148,126 : x
  2. Step 2: Convert to fraction form
    96,246/148,126 = 148,126/x
  3. Step 3: Cross multiply
    96,246x = 148,126 × 148,126
  4. Step 4: Simplify right side
    96,246x = 21,941,311,876
  5. Step 5: Solve for x
    x = 21,941,311,876/96,246
  6. Step 6: Final answer
    x = 227,971.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.