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Finding the Third Proportional to 120,354 and 187,187

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Solution

The third proportional to 120,354 and 187,187 is: 291,132.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,354 : 187,187 = 187,187 : x
  2. Step 2: Convert to fraction form
    120,354/187,187 = 187,187/x
  3. Step 3: Cross multiply
    120,354x = 187,187 × 187,187
  4. Step 4: Simplify right side
    120,354x = 35,038,972,969
  5. Step 5: Solve for x
    x = 35,038,972,969/120,354
  6. Step 6: Final answer
    x = 291,132.60

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Why These Related Problems?

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