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Finding the Third Proportional to 49,557 and 76,521

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Solution

The third proportional to 49,557 and 76,521 is: 118,156.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,557 : 76,521 = 76,521 : x
  2. Step 2: Convert to fraction form
    49,557/76,521 = 76,521/x
  3. Step 3: Cross multiply
    49,557x = 76,521 × 76,521
  4. Step 4: Simplify right side
    49,557x = 5,855,463,441
  5. Step 5: Solve for x
    x = 5,855,463,441/49,557
  6. Step 6: Final answer
    x = 118,156.13

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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.