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Finding the Third Proportional to 67,602 and 156,493.50

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Solution

The third proportional to 67,602 and 156,493.50 is: 362,270.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,602 : 156,493.50 = 156,493.50 : x
  2. Step 2: Convert to fraction form
    67,602/156,493.50 = 156,493.50/x
  3. Step 3: Cross multiply
    67,602x = 156,493.50 × 156,493.50
  4. Step 4: Simplify right side
    67,602x = 24,490,215,542.25
  5. Step 5: Solve for x
    x = 24,490,215,542.25/67,602
  6. Step 6: Final answer
    x = 362,270.58

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.