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Finding the Third Proportional to 61,822 and 133,499

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Solution

The third proportional to 61,822 and 133,499 is: 288,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,822 : 133,499 = 133,499 : x
  2. Step 2: Convert to fraction form
    61,822/133,499 = 133,499/x
  3. Step 3: Cross multiply
    61,822x = 133,499 × 133,499
  4. Step 4: Simplify right side
    61,822x = 17,821,983,001
  5. Step 5: Solve for x
    x = 17,821,983,001/61,822
  6. Step 6: Final answer
    x = 288,278.98

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.