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Finding the Third Proportional to 68,224 and 144,528

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Solution

The third proportional to 68,224 and 144,528 is: 306,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,224 : 144,528 = 144,528 : x
  2. Step 2: Convert to fraction form
    68,224/144,528 = 144,528/x
  3. Step 3: Cross multiply
    68,224x = 144,528 × 144,528
  4. Step 4: Simplify right side
    68,224x = 20,888,342,784
  5. Step 5: Solve for x
    x = 20,888,342,784/68,224
  6. Step 6: Final answer
    x = 306,172.94

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.