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Finding the Third Proportional to 49,221 and 76,362

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Solution

The third proportional to 49,221 and 76,362 is: 118,468.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,221 : 76,362 = 76,362 : x
  2. Step 2: Convert to fraction form
    49,221/76,362 = 76,362/x
  3. Step 3: Cross multiply
    49,221x = 76,362 × 76,362
  4. Step 4: Simplify right side
    49,221x = 5,831,155,044
  5. Step 5: Solve for x
    x = 5,831,155,044/49,221
  6. Step 6: Final answer
    x = 118,468.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.