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Finding the Third Proportional to 109,137 and 235,770

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Solution

The third proportional to 109,137 and 235,770 is: 509,336.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,137 : 235,770 = 235,770 : x
  2. Step 2: Convert to fraction form
    109,137/235,770 = 235,770/x
  3. Step 3: Cross multiply
    109,137x = 235,770 × 235,770
  4. Step 4: Simplify right side
    109,137x = 55,587,492,900
  5. Step 5: Solve for x
    x = 55,587,492,900/109,137
  6. Step 6: Final answer
    x = 509,336.82

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.