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Finding the Third Proportional to 96,492 and 148,482

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Solution

The third proportional to 96,492 and 148,482 is: 228,484.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,492 : 148,482 = 148,482 : x
  2. Step 2: Convert to fraction form
    96,492/148,482 = 148,482/x
  3. Step 3: Cross multiply
    96,492x = 148,482 × 148,482
  4. Step 4: Simplify right side
    96,492x = 22,046,904,324
  5. Step 5: Solve for x
    x = 22,046,904,324/96,492
  6. Step 6: Final answer
    x = 228,484.27

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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.