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Finding the Third Proportional to 80,262 and 122,530.50

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Solution

The third proportional to 80,262 and 122,530.50 is: 187,058.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,262 : 122,530.50 = 122,530.50 : x
  2. Step 2: Convert to fraction form
    80,262/122,530.50 = 122,530.50/x
  3. Step 3: Cross multiply
    80,262x = 122,530.50 × 122,530.50
  4. Step 4: Simplify right side
    80,262x = 15,013,723,430.25
  5. Step 5: Solve for x
    x = 15,013,723,430.25/80,262
  6. Step 6: Final answer
    x = 187,058.92

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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.