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Finding the Third Proportional to 96,482 and 148,388

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Solution

The third proportional to 96,482 and 148,388 is: 228,218.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,482 : 148,388 = 148,388 : x
  2. Step 2: Convert to fraction form
    96,482/148,388 = 148,388/x
  3. Step 3: Cross multiply
    96,482x = 148,388 × 148,388
  4. Step 4: Simplify right side
    96,482x = 22,018,998,544
  5. Step 5: Solve for x
    x = 22,018,998,544/96,482
  6. Step 6: Final answer
    x = 228,218.72

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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.