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Finding the Third Proportional to 109,232 and 169,673

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Solution

The third proportional to 109,232 and 169,673 is: 263,557.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,232 : 169,673 = 169,673 : x
  2. Step 2: Convert to fraction form
    109,232/169,673 = 169,673/x
  3. Step 3: Cross multiply
    109,232x = 169,673 × 169,673
  4. Step 4: Simplify right side
    109,232x = 28,788,926,929
  5. Step 5: Solve for x
    x = 28,788,926,929/109,232
  6. Step 6: Final answer
    x = 263,557.63

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.