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Finding the Third Proportional to 52,998 and 74,281

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Solution

The third proportional to 52,998 and 74,281 is: 104,110.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,998 : 74,281 = 74,281 : x
  2. Step 2: Convert to fraction form
    52,998/74,281 = 74,281/x
  3. Step 3: Cross multiply
    52,998x = 74,281 × 74,281
  4. Step 4: Simplify right side
    52,998x = 5,517,666,961
  5. Step 5: Solve for x
    x = 5,517,666,961/52,998
  6. Step 6: Final answer
    x = 104,110.85

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.