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Finding the Third Proportional to 109,685 and 165,337

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Solution

The third proportional to 109,685 and 165,337 is: 249,225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,685 : 165,337 = 165,337 : x
  2. Step 2: Convert to fraction form
    109,685/165,337 = 165,337/x
  3. Step 3: Cross multiply
    109,685x = 165,337 × 165,337
  4. Step 4: Simplify right side
    109,685x = 27,336,323,569
  5. Step 5: Solve for x
    x = 27,336,323,569/109,685
  6. Step 6: Final answer
    x = 249,225.72

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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.