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Finding the Third Proportional to 52,982 and 115,807

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Solution

The third proportional to 52,982 and 115,807 is: 253,128.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,982 : 115,807 = 115,807 : x
  2. Step 2: Convert to fraction form
    52,982/115,807 = 115,807/x
  3. Step 3: Cross multiply
    52,982x = 115,807 × 115,807
  4. Step 4: Simplify right side
    52,982x = 13,411,261,249
  5. Step 5: Solve for x
    x = 13,411,261,249/52,982
  6. Step 6: Final answer
    x = 253,128.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.