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Finding the Third Proportional to 61,461 and 84,112

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Solution

The third proportional to 61,461 and 84,112 is: 115,110.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,461 : 84,112 = 84,112 : x
  2. Step 2: Convert to fraction form
    61,461/84,112 = 84,112/x
  3. Step 3: Cross multiply
    61,461x = 84,112 × 84,112
  4. Step 4: Simplify right side
    61,461x = 7,074,828,544
  5. Step 5: Solve for x
    x = 7,074,828,544/61,461
  6. Step 6: Final answer
    x = 115,110.86

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.