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Finding the Third Proportional to 106,230 and 160,168

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Solution

The third proportional to 106,230 and 160,168 is: 241,492.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,230 : 160,168 = 160,168 : x
  2. Step 2: Convert to fraction form
    106,230/160,168 = 160,168/x
  3. Step 3: Cross multiply
    106,230x = 160,168 × 160,168
  4. Step 4: Simplify right side
    106,230x = 25,653,788,224
  5. Step 5: Solve for x
    x = 25,653,788,224/106,230
  6. Step 6: Final answer
    x = 241,492.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.