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Finding the Third Proportional to 60,583 and 92,991

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Solution

The third proportional to 60,583 and 92,991 is: 142,735.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,583 : 92,991 = 92,991 : x
  2. Step 2: Convert to fraction form
    60,583/92,991 = 92,991/x
  3. Step 3: Cross multiply
    60,583x = 92,991 × 92,991
  4. Step 4: Simplify right side
    60,583x = 8,647,326,081
  5. Step 5: Solve for x
    x = 8,647,326,081/60,583
  6. Step 6: Final answer
    x = 142,735.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.