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Finding the Third Proportional to 107,467 and 165,709

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Solution

The third proportional to 107,467 and 165,709 is: 255,515.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,467 : 165,709 = 165,709 : x
  2. Step 2: Convert to fraction form
    107,467/165,709 = 165,709/x
  3. Step 3: Cross multiply
    107,467x = 165,709 × 165,709
  4. Step 4: Simplify right side
    107,467x = 27,459,472,681
  5. Step 5: Solve for x
    x = 27,459,472,681/107,467
  6. Step 6: Final answer
    x = 255,515.39

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.