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Finding the Third Proportional to 71,168 and 153,332

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Solution

The third proportional to 71,168 and 153,332 is: 330,354.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,168 : 153,332 = 153,332 : x
  2. Step 2: Convert to fraction form
    71,168/153,332 = 153,332/x
  3. Step 3: Cross multiply
    71,168x = 153,332 × 153,332
  4. Step 4: Simplify right side
    71,168x = 23,510,702,224
  5. Step 5: Solve for x
    x = 23,510,702,224/71,168
  6. Step 6: Final answer
    x = 330,354.97

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.