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Finding the Third Proportional to 120,901.50 and 187,024.88

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Solution

The third proportional to 120,901.50 and 187,024.88 is: 289,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,901.50 : 187,024.88 = 187,024.88 : x
  2. Step 2: Convert to fraction form
    120,901.50/187,024.88 = 187,024.88/x
  3. Step 3: Cross multiply
    120,901.50x = 187,024.88 × 187,024.88
  4. Step 4: Simplify right side
    120,901.50x = 34,978,303,868.77
  5. Step 5: Solve for x
    x = 34,978,303,868.77/120,901.50
  6. Step 6: Final answer
    x = 289,312.41

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.