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Finding the Third Proportional to 52,998 and 115,960

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Solution

The third proportional to 52,998 and 115,960 is: 253,721.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,998 : 115,960 = 115,960 : x
  2. Step 2: Convert to fraction form
    52,998/115,960 = 115,960/x
  3. Step 3: Cross multiply
    52,998x = 115,960 × 115,960
  4. Step 4: Simplify right side
    52,998x = 13,446,721,600
  5. Step 5: Solve for x
    x = 13,446,721,600/52,998
  6. Step 6: Final answer
    x = 253,721.30

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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.