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Finding the Third Proportional to 111,582 and 156,069

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Solution

The third proportional to 111,582 and 156,069 is: 218,292.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,582 : 156,069 = 156,069 : x
  2. Step 2: Convert to fraction form
    111,582/156,069 = 156,069/x
  3. Step 3: Cross multiply
    111,582x = 156,069 × 156,069
  4. Step 4: Simplify right side
    111,582x = 24,357,532,761
  5. Step 5: Solve for x
    x = 24,357,532,761/111,582
  6. Step 6: Final answer
    x = 218,292.67

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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.