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Finding the Third Proportional to 61,701 and 83,610

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Solution

The third proportional to 61,701 and 83,610 is: 113,298.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,701 : 83,610 = 83,610 : x
  2. Step 2: Convert to fraction form
    61,701/83,610 = 83,610/x
  3. Step 3: Cross multiply
    61,701x = 83,610 × 83,610
  4. Step 4: Simplify right side
    61,701x = 6,990,632,100
  5. Step 5: Solve for x
    x = 6,990,632,100/61,701
  6. Step 6: Final answer
    x = 113,298.52

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.