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Finding the Third Proportional to 70,522.88 and 146,877.75

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Solution

The third proportional to 70,522.88 and 146,877.75 is: 305,901.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,522.88 : 146,877.75 = 146,877.75 : x
  2. Step 2: Convert to fraction form
    70,522.88/146,877.75 = 146,877.75/x
  3. Step 3: Cross multiply
    70,522.88x = 146,877.75 × 146,877.75
  4. Step 4: Simplify right side
    70,522.88x = 21,573,073,445.06
  5. Step 5: Solve for x
    x = 21,573,073,445.06/70,522.88
  6. Step 6: Final answer
    x = 305,901.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.