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Finding the Third Proportional to 81,460 and 176,168

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Solution

The third proportional to 81,460 and 176,168 is: 380,986.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,460 : 176,168 = 176,168 : x
  2. Step 2: Convert to fraction form
    81,460/176,168 = 176,168/x
  3. Step 3: Cross multiply
    81,460x = 176,168 × 176,168
  4. Step 4: Simplify right side
    81,460x = 31,035,164,224
  5. Step 5: Solve for x
    x = 31,035,164,224/81,460
  6. Step 6: Final answer
    x = 380,986.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.