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Finding the Third Proportional to 70,008.75 and 105,586.88

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Solution

The third proportional to 70,008.75 and 105,586.88 is: 159,245.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,008.75 : 105,586.88 = 105,586.88 : x
  2. Step 2: Convert to fraction form
    70,008.75/105,586.88 = 105,586.88/x
  3. Step 3: Cross multiply
    70,008.75x = 105,586.88 × 105,586.88
  4. Step 4: Simplify right side
    70,008.75x = 11,148,588,172.27
  5. Step 5: Solve for x
    x = 11,148,588,172.27/70,008.75
  6. Step 6: Final answer
    x = 159,245.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.