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Finding the Third Proportional to 72,011.53 and 106,168.22

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Solution

The third proportional to 72,011.53 and 106,168.22 is: 156,526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,011.53 : 106,168.22 = 106,168.22 : x
  2. Step 2: Convert to fraction form
    72,011.53/106,168.22 = 106,168.22/x
  3. Step 3: Cross multiply
    72,011.53x = 106,168.22 × 106,168.22
  4. Step 4: Simplify right side
    72,011.53x = 11,271,690,672.55
  5. Step 5: Solve for x
    x = 11,271,690,672.55/72,011.53
  6. Step 6: Final answer
    x = 156,526.19

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.