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Finding the Third Proportional to 52,007 and 77,241

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Solution

The third proportional to 52,007 and 77,241 is: 114,718.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,007 : 77,241 = 77,241 : x
  2. Step 2: Convert to fraction form
    52,007/77,241 = 77,241/x
  3. Step 3: Cross multiply
    52,007x = 77,241 × 77,241
  4. Step 4: Simplify right side
    52,007x = 5,966,172,081
  5. Step 5: Solve for x
    x = 5,966,172,081/52,007
  6. Step 6: Final answer
    x = 114,718.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.