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Finding the Third Proportional to 109,101.75 and 169,328.25

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Solution

The third proportional to 109,101.75 and 169,328.25 is: 262,801.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,101.75 : 169,328.25 = 169,328.25 : x
  2. Step 2: Convert to fraction form
    109,101.75/169,328.25 = 169,328.25/x
  3. Step 3: Cross multiply
    109,101.75x = 169,328.25 × 169,328.25
  4. Step 4: Simplify right side
    109,101.75x = 28,672,056,248.06
  5. Step 5: Solve for x
    x = 28,672,056,248.06/109,101.75
  6. Step 6: Final answer
    x = 262,801.07

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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.