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Finding the Third Proportional to 76,338 and 105,482

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Solution

The third proportional to 76,338 and 105,482 is: 145,752.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,338 : 105,482 = 105,482 : x
  2. Step 2: Convert to fraction form
    76,338/105,482 = 105,482/x
  3. Step 3: Cross multiply
    76,338x = 105,482 × 105,482
  4. Step 4: Simplify right side
    76,338x = 11,126,452,324
  5. Step 5: Solve for x
    x = 11,126,452,324/76,338
  6. Step 6: Final answer
    x = 145,752.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.