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Finding the Third Proportional to 61,600 and 91,992

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Solution

The third proportional to 61,600 and 91,992 is: 137,378.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,600 : 91,992 = 91,992 : x
  2. Step 2: Convert to fraction form
    61,600/91,992 = 91,992/x
  3. Step 3: Cross multiply
    61,600x = 91,992 × 91,992
  4. Step 4: Simplify right side
    61,600x = 8,462,528,064
  5. Step 5: Solve for x
    x = 8,462,528,064/61,600
  6. Step 6: Final answer
    x = 137,378.70

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.