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Finding the Third Proportional to 49,215 and 72,726

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Solution

The third proportional to 49,215 and 72,726 is: 107,468.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,215 : 72,726 = 72,726 : x
  2. Step 2: Convert to fraction form
    49,215/72,726 = 72,726/x
  3. Step 3: Cross multiply
    49,215x = 72,726 × 72,726
  4. Step 4: Simplify right side
    49,215x = 5,289,071,076
  5. Step 5: Solve for x
    x = 5,289,071,076/49,215
  6. Step 6: Final answer
    x = 107,468.68

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.