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Finding the Third Proportional to 109,984 and 170,592

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Solution

The third proportional to 109,984 and 170,592 is: 264,598.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,984 : 170,592 = 170,592 : x
  2. Step 2: Convert to fraction form
    109,984/170,592 = 170,592/x
  3. Step 3: Cross multiply
    109,984x = 170,592 × 170,592
  4. Step 4: Simplify right side
    109,984x = 29,101,630,464
  5. Step 5: Solve for x
    x = 29,101,630,464/109,984
  6. Step 6: Final answer
    x = 264,598.76

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.