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Finding the Third Proportional to 96,248 and 148,129

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Solution

The third proportional to 96,248 and 148,129 is: 227,975.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,248 : 148,129 = 148,129 : x
  2. Step 2: Convert to fraction form
    96,248/148,129 = 148,129/x
  3. Step 3: Cross multiply
    96,248x = 148,129 × 148,129
  4. Step 4: Simplify right side
    96,248x = 21,942,200,641
  5. Step 5: Solve for x
    x = 21,942,200,641/96,248
  6. Step 6: Final answer
    x = 227,975.65

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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.