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Finding the Third Proportional to 109,988 and 171,556

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Solution

The third proportional to 109,988 and 171,556 is: 267,587.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,988 : 171,556 = 171,556 : x
  2. Step 2: Convert to fraction form
    109,988/171,556 = 171,556/x
  3. Step 3: Cross multiply
    109,988x = 171,556 × 171,556
  4. Step 4: Simplify right side
    109,988x = 29,431,461,136
  5. Step 5: Solve for x
    x = 29,431,461,136/109,988
  6. Step 6: Final answer
    x = 267,587.93

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.