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Finding the Third Proportional to 109,150 and 163,051

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Solution

The third proportional to 109,150 and 163,051 is: 243,569.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,150 : 163,051 = 163,051 : x
  2. Step 2: Convert to fraction form
    109,150/163,051 = 163,051/x
  3. Step 3: Cross multiply
    109,150x = 163,051 × 163,051
  4. Step 4: Simplify right side
    109,150x = 26,585,628,601
  5. Step 5: Solve for x
    x = 26,585,628,601/109,150
  6. Step 6: Final answer
    x = 243,569.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.