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Finding the Third Proportional to 107,709 and 165,325.50

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Solution

The third proportional to 107,709 and 165,325.50 is: 253,762.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,709 : 165,325.50 = 165,325.50 : x
  2. Step 2: Convert to fraction form
    107,709/165,325.50 = 165,325.50/x
  3. Step 3: Cross multiply
    107,709x = 165,325.50 × 165,325.50
  4. Step 4: Simplify right side
    107,709x = 27,332,520,950.25
  5. Step 5: Solve for x
    x = 27,332,520,950.25/107,709
  6. Step 6: Final answer
    x = 253,762.65

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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.