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Finding the Third Proportional to 70,188.75 and 153,501.75

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Solution

The third proportional to 70,188.75 and 153,501.75 is: 335,706.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,188.75 : 153,501.75 = 153,501.75 : x
  2. Step 2: Convert to fraction form
    70,188.75/153,501.75 = 153,501.75/x
  3. Step 3: Cross multiply
    70,188.75x = 153,501.75 × 153,501.75
  4. Step 4: Simplify right side
    70,188.75x = 23,562,787,253.06
  5. Step 5: Solve for x
    x = 23,562,787,253.06/70,188.75
  6. Step 6: Final answer
    x = 335,706.04

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.