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Finding the Third Proportional to 52,998 and 71,721

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Solution

The third proportional to 52,998 and 71,721 is: 97,058.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,998 : 71,721 = 71,721 : x
  2. Step 2: Convert to fraction form
    52,998/71,721 = 71,721/x
  3. Step 3: Cross multiply
    52,998x = 71,721 × 71,721
  4. Step 4: Simplify right side
    52,998x = 5,143,901,841
  5. Step 5: Solve for x
    x = 5,143,901,841/52,998
  6. Step 6: Final answer
    x = 97,058.41

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.