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Finding the Third Proportional to 52,047 and 77,857

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Solution

The third proportional to 52,047 and 77,857 is: 116,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,047 : 77,857 = 77,857 : x
  2. Step 2: Convert to fraction form
    52,047/77,857 = 77,857/x
  3. Step 3: Cross multiply
    52,047x = 77,857 × 77,857
  4. Step 4: Simplify right side
    52,047x = 6,061,712,449
  5. Step 5: Solve for x
    x = 6,061,712,449/52,047
  6. Step 6: Final answer
    x = 116,466.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.