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Finding the Third Proportional to 60,584 and 91,969

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Solution

The third proportional to 60,584 and 91,969 is: 139,612.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,584 : 91,969 = 91,969 : x
  2. Step 2: Convert to fraction form
    60,584/91,969 = 91,969/x
  3. Step 3: Cross multiply
    60,584x = 91,969 × 91,969
  4. Step 4: Simplify right side
    60,584x = 8,458,296,961
  5. Step 5: Solve for x
    x = 8,458,296,961/60,584
  6. Step 6: Final answer
    x = 139,612.72

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.