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Finding the Third Proportional to 107,084 and 156,786

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Solution

The third proportional to 107,084 and 156,786 is: 229,556.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,084 : 156,786 = 156,786 : x
  2. Step 2: Convert to fraction form
    107,084/156,786 = 156,786/x
  3. Step 3: Cross multiply
    107,084x = 156,786 × 156,786
  4. Step 4: Simplify right side
    107,084x = 24,581,849,796
  5. Step 5: Solve for x
    x = 24,581,849,796/107,084
  6. Step 6: Final answer
    x = 229,556.70

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.