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Finding the Third Proportional to 111,579 and 156,064.50

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Solution

The third proportional to 111,579 and 156,064.50 is: 218,285.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,579 : 156,064.50 = 156,064.50 : x
  2. Step 2: Convert to fraction form
    111,579/156,064.50 = 156,064.50/x
  3. Step 3: Cross multiply
    111,579x = 156,064.50 × 156,064.50
  4. Step 4: Simplify right side
    111,579x = 24,356,128,160.25
  5. Step 5: Solve for x
    x = 24,356,128,160.25/111,579
  6. Step 6: Final answer
    x = 218,285.95

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.