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Finding the Third Proportional to 71,475 and 108,748.50

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Solution

The third proportional to 71,475 and 108,748.50 is: 165,459.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,475 : 108,748.50 = 108,748.50 : x
  2. Step 2: Convert to fraction form
    71,475/108,748.50 = 108,748.50/x
  3. Step 3: Cross multiply
    71,475x = 108,748.50 × 108,748.50
  4. Step 4: Simplify right side
    71,475x = 11,826,236,252.25
  5. Step 5: Solve for x
    x = 11,826,236,252.25/71,475
  6. Step 6: Final answer
    x = 165,459.76

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