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Finding the Third Proportional to 67,143 and 102,658.50

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Solution

The third proportional to 67,143 and 102,658.50 is: 156,960.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,143 : 102,658.50 = 102,658.50 : x
  2. Step 2: Convert to fraction form
    67,143/102,658.50 = 102,658.50/x
  3. Step 3: Cross multiply
    67,143x = 102,658.50 × 102,658.50
  4. Step 4: Simplify right side
    67,143x = 10,538,767,622.25
  5. Step 5: Solve for x
    x = 10,538,767,622.25/67,143
  6. Step 6: Final answer
    x = 156,960.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.