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Finding the Third Proportional to 50,258 and 77,563

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Solution

The third proportional to 50,258 and 77,563 is: 119,702.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,258 : 77,563 = 77,563 : x
  2. Step 2: Convert to fraction form
    50,258/77,563 = 77,563/x
  3. Step 3: Cross multiply
    50,258x = 77,563 × 77,563
  4. Step 4: Simplify right side
    50,258x = 6,016,018,969
  5. Step 5: Solve for x
    x = 6,016,018,969/50,258
  6. Step 6: Final answer
    x = 119,702.71

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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.