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Finding the Third Proportional to 70,223 and 153,583.75

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Solution

The third proportional to 70,223 and 153,583.75 is: 335,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,223 : 153,583.75 = 153,583.75 : x
  2. Step 2: Convert to fraction form
    70,223/153,583.75 = 153,583.75/x
  3. Step 3: Cross multiply
    70,223x = 153,583.75 × 153,583.75
  4. Step 4: Simplify right side
    70,223x = 23,587,968,264.06
  5. Step 5: Solve for x
    x = 23,587,968,264.06/70,223
  6. Step 6: Final answer
    x = 335,900.89

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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.