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Finding the Third Proportional to 71,458.50 and 156,525

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Solution

The third proportional to 71,458.50 and 156,525 is: 342,857.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,458.50 : 156,525 = 156,525 : x
  2. Step 2: Convert to fraction form
    71,458.50/156,525 = 156,525/x
  3. Step 3: Cross multiply
    71,458.50x = 156,525 × 156,525
  4. Step 4: Simplify right side
    71,458.50x = 24,500,075,625
  5. Step 5: Solve for x
    x = 24,500,075,625/71,458.50
  6. Step 6: Final answer
    x = 342,857.40

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.