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Finding the Third Proportional to 61,522 and 80,784

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Solution

The third proportional to 61,522 and 80,784 is: 106,076.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,522 : 80,784 = 80,784 : x
  2. Step 2: Convert to fraction form
    61,522/80,784 = 80,784/x
  3. Step 3: Cross multiply
    61,522x = 80,784 × 80,784
  4. Step 4: Simplify right side
    61,522x = 6,526,054,656
  5. Step 5: Solve for x
    x = 6,526,054,656/61,522
  6. Step 6: Final answer
    x = 106,076.76

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.