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Finding the Third Proportional to 88,851 and 187,678

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Solution

The third proportional to 88,851 and 187,678 is: 396,428.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,851 : 187,678 = 187,678 : x
  2. Step 2: Convert to fraction form
    88,851/187,678 = 187,678/x
  3. Step 3: Cross multiply
    88,851x = 187,678 × 187,678
  4. Step 4: Simplify right side
    88,851x = 35,223,031,684
  5. Step 5: Solve for x
    x = 35,223,031,684/88,851
  6. Step 6: Final answer
    x = 396,428.08

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.