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Finding the Third Proportional to 52,998 and 74,282

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Solution

The third proportional to 52,998 and 74,282 is: 104,113.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,998 : 74,282 = 74,282 : x
  2. Step 2: Convert to fraction form
    52,998/74,282 = 74,282/x
  3. Step 3: Cross multiply
    52,998x = 74,282 × 74,282
  4. Step 4: Simplify right side
    52,998x = 5,517,815,524
  5. Step 5: Solve for x
    x = 5,517,815,524/52,998
  6. Step 6: Final answer
    x = 104,113.66

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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.