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Finding the Third Proportional to 109,154 and 163,057

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Solution

The third proportional to 109,154 and 163,057 is: 243,578.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,154 : 163,057 = 163,057 : x
  2. Step 2: Convert to fraction form
    109,154/163,057 = 163,057/x
  3. Step 3: Cross multiply
    109,154x = 163,057 × 163,057
  4. Step 4: Simplify right side
    109,154x = 26,587,585,249
  5. Step 5: Solve for x
    x = 26,587,585,249/109,154
  6. Step 6: Final answer
    x = 243,578.66

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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.