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Finding the Third Proportional to 72,698 and 109,410.75

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Solution

The third proportional to 72,698 and 109,410.75 is: 164,663.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,698 : 109,410.75 = 109,410.75 : x
  2. Step 2: Convert to fraction form
    72,698/109,410.75 = 109,410.75/x
  3. Step 3: Cross multiply
    72,698x = 109,410.75 × 109,410.75
  4. Step 4: Simplify right side
    72,698x = 11,970,712,215.56
  5. Step 5: Solve for x
    x = 11,970,712,215.56/72,698
  6. Step 6: Final answer
    x = 164,663.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.