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Finding the Third Proportional to 49,356 and 75,261

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Solution

The third proportional to 49,356 and 75,261 is: 114,762.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356 : 75,261 = 75,261 : x
  2. Step 2: Convert to fraction form
    49,356/75,261 = 75,261/x
  3. Step 3: Cross multiply
    49,356x = 75,261 × 75,261
  4. Step 4: Simplify right side
    49,356x = 5,664,218,121
  5. Step 5: Solve for x
    x = 5,664,218,121/49,356
  6. Step 6: Final answer
    x = 114,762.50

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.