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Finding the Third Proportional to 52,515 and 77,949

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Solution

The third proportional to 52,515 and 77,949 is: 115,701.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,515 : 77,949 = 77,949 : x
  2. Step 2: Convert to fraction form
    52,515/77,949 = 77,949/x
  3. Step 3: Cross multiply
    52,515x = 77,949 × 77,949
  4. Step 4: Simplify right side
    52,515x = 6,076,046,601
  5. Step 5: Solve for x
    x = 6,076,046,601/52,515
  6. Step 6: Final answer
    x = 115,701.16

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.