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Finding the Third Proportional to 61,596 and 91,986

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Solution

The third proportional to 61,596 and 91,986 is: 137,369.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,596 : 91,986 = 91,986 : x
  2. Step 2: Convert to fraction form
    61,596/91,986 = 91,986/x
  3. Step 3: Cross multiply
    61,596x = 91,986 × 91,986
  4. Step 4: Simplify right side
    61,596x = 8,461,424,196
  5. Step 5: Solve for x
    x = 8,461,424,196/61,596
  6. Step 6: Final answer
    x = 137,369.70

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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.