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Finding the Third Proportional to 61,610 and 83,847

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Solution

The third proportional to 61,610 and 83,847 is: 114,110.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,610 : 83,847 = 83,847 : x
  2. Step 2: Convert to fraction form
    61,610/83,847 = 83,847/x
  3. Step 3: Cross multiply
    61,610x = 83,847 × 83,847
  4. Step 4: Simplify right side
    61,610x = 7,030,319,409
  5. Step 5: Solve for x
    x = 7,030,319,409/61,610
  6. Step 6: Final answer
    x = 114,110.04

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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.