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Finding the Third Proportional to 68,100.75 and 144,392.63

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Solution

The third proportional to 68,100.75 and 144,392.63 is: 306,152.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,100.75 : 144,392.63 = 144,392.63 : x
  2. Step 2: Convert to fraction form
    68,100.75/144,392.63 = 144,392.63/x
  3. Step 3: Cross multiply
    68,100.75x = 144,392.63 × 144,392.63
  4. Step 4: Simplify right side
    68,100.75x = 20,849,230,154.39
  5. Step 5: Solve for x
    x = 20,849,230,154.39/68,100.75
  6. Step 6: Final answer
    x = 306,152.72

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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.