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Finding the Third Proportional to 70,482.94 and 107,957.25

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Solution

The third proportional to 70,482.94 and 107,957.25 is: 165,355.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,482.94 : 107,957.25 = 107,957.25 : x
  2. Step 2: Convert to fraction form
    70,482.94/107,957.25 = 107,957.25/x
  3. Step 3: Cross multiply
    70,482.94x = 107,957.25 × 107,957.25
  4. Step 4: Simplify right side
    70,482.94x = 11,654,767,827.56
  5. Step 5: Solve for x
    x = 11,654,767,827.56/70,482.94
  6. Step 6: Final answer
    x = 165,355.88

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.