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Finding the Third Proportional to 109,036 and 158,778

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Solution

The third proportional to 109,036 and 158,778 is: 231,212.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,036 : 158,778 = 158,778 : x
  2. Step 2: Convert to fraction form
    109,036/158,778 = 158,778/x
  3. Step 3: Cross multiply
    109,036x = 158,778 × 158,778
  4. Step 4: Simplify right side
    109,036x = 25,210,453,284
  5. Step 5: Solve for x
    x = 25,210,453,284/109,036
  6. Step 6: Final answer
    x = 231,212.20

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Why These Related Problems?

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