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Finding the Third Proportional to 49,216 and 78,348

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Solution

The third proportional to 49,216 and 78,348 is: 124,723.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,216 : 78,348 = 78,348 : x
  2. Step 2: Convert to fraction form
    49,216/78,348 = 78,348/x
  3. Step 3: Cross multiply
    49,216x = 78,348 × 78,348
  4. Step 4: Simplify right side
    49,216x = 6,138,409,104
  5. Step 5: Solve for x
    x = 6,138,409,104/49,216
  6. Step 6: Final answer
    x = 124,723.85

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.