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Finding the Third Proportional to 95,867 and 148,289

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Solution

The third proportional to 95,867 and 148,289 is: 229,376.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,867 : 148,289 = 148,289 : x
  2. Step 2: Convert to fraction form
    95,867/148,289 = 148,289/x
  3. Step 3: Cross multiply
    95,867x = 148,289 × 148,289
  4. Step 4: Simplify right side
    95,867x = 21,989,627,521
  5. Step 5: Solve for x
    x = 21,989,627,521/95,867
  6. Step 6: Final answer
    x = 229,376.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.