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Finding the Third Proportional to 78,697.50 and 168,614

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Solution

The third proportional to 78,697.50 and 168,614 is: 361,265.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,697.50 : 168,614 = 168,614 : x
  2. Step 2: Convert to fraction form
    78,697.50/168,614 = 168,614/x
  3. Step 3: Cross multiply
    78,697.50x = 168,614 × 168,614
  4. Step 4: Simplify right side
    78,697.50x = 28,430,680,996
  5. Step 5: Solve for x
    x = 28,430,680,996/78,697.50
  6. Step 6: Final answer
    x = 361,265.36

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.