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Finding the Third Proportional to 70,875 and 154,203

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Solution

The third proportional to 70,875 and 154,203 is: 335,500.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,875 : 154,203 = 154,203 : x
  2. Step 2: Convert to fraction form
    70,875/154,203 = 154,203/x
  3. Step 3: Cross multiply
    70,875x = 154,203 × 154,203
  4. Step 4: Simplify right side
    70,875x = 23,778,565,209
  5. Step 5: Solve for x
    x = 23,778,565,209/70,875
  6. Step 6: Final answer
    x = 335,500.04

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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.