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Finding the Third Proportional to 70,517.46 and 153,894.94

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Solution

The third proportional to 70,517.46 and 153,894.94 is: 335,855.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,517.46 : 153,894.94 = 153,894.94 : x
  2. Step 2: Convert to fraction form
    70,517.46/153,894.94 = 153,894.94/x
  3. Step 3: Cross multiply
    70,517.46x = 153,894.94 × 153,894.94
  4. Step 4: Simplify right side
    70,517.46x = 23,683,651,788.13
  5. Step 5: Solve for x
    x = 23,683,651,788.13/70,517.46
  6. Step 6: Final answer
    x = 335,855.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.