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Finding the Third Proportional to 73,984 and 115,934

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Solution

The third proportional to 73,984 and 115,934 is: 181,670.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,984 : 115,934 = 115,934 : x
  2. Step 2: Convert to fraction form
    73,984/115,934 = 115,934/x
  3. Step 3: Cross multiply
    73,984x = 115,934 × 115,934
  4. Step 4: Simplify right side
    73,984x = 13,440,692,356
  5. Step 5: Solve for x
    x = 13,440,692,356/73,984
  6. Step 6: Final answer
    x = 181,670.26

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.