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Finding the Third Proportional to 109,166 and 163,073

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Solution

The third proportional to 109,166 and 163,073 is: 243,599.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,166 : 163,073 = 163,073 : x
  2. Step 2: Convert to fraction form
    109,166/163,073 = 163,073/x
  3. Step 3: Cross multiply
    109,166x = 163,073 × 163,073
  4. Step 4: Simplify right side
    109,166x = 26,592,803,329
  5. Step 5: Solve for x
    x = 26,592,803,329/109,166
  6. Step 6: Final answer
    x = 243,599.69

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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.