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Finding the Third Proportional to 94,542 and 143,778

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Solution

The third proportional to 94,542 and 143,778 is: 218,655.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,542 : 143,778 = 143,778 : x
  2. Step 2: Convert to fraction form
    94,542/143,778 = 143,778/x
  3. Step 3: Cross multiply
    94,542x = 143,778 × 143,778
  4. Step 4: Simplify right side
    94,542x = 20,672,113,284
  5. Step 5: Solve for x
    x = 20,672,113,284/94,542
  6. Step 6: Final answer
    x = 218,655.34

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.