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Finding the Third Proportional to 70,008.75 and 103,914

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Solution

The third proportional to 70,008.75 and 103,914 is: 154,239.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,008.75 : 103,914 = 103,914 : x
  2. Step 2: Convert to fraction form
    70,008.75/103,914 = 103,914/x
  3. Step 3: Cross multiply
    70,008.75x = 103,914 × 103,914
  4. Step 4: Simplify right side
    70,008.75x = 10,798,119,396
  5. Step 5: Solve for x
    x = 10,798,119,396/70,008.75
  6. Step 6: Final answer
    x = 154,239.57

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.