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Finding the Third Proportional to 52,517 and 77,951

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Solution

The third proportional to 52,517 and 77,951 is: 115,702.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,517 : 77,951 = 77,951 : x
  2. Step 2: Convert to fraction form
    52,517/77,951 = 77,951/x
  3. Step 3: Cross multiply
    52,517x = 77,951 × 77,951
  4. Step 4: Simplify right side
    52,517x = 6,076,358,401
  5. Step 5: Solve for x
    x = 6,076,358,401/52,517
  6. Step 6: Final answer
    x = 115,702.69

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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.