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Finding the Third Proportional to 61,948 and 83,234

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Solution

The third proportional to 61,948 and 83,234 is: 111,834.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,948 : 83,234 = 83,234 : x
  2. Step 2: Convert to fraction form
    61,948/83,234 = 83,234/x
  3. Step 3: Cross multiply
    61,948x = 83,234 × 83,234
  4. Step 4: Simplify right side
    61,948x = 6,927,898,756
  5. Step 5: Solve for x
    x = 6,927,898,756/61,948
  6. Step 6: Final answer
    x = 111,834.10

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.