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Finding the Third Proportional to 75,566 and 111,258

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Solution

The third proportional to 75,566 and 111,258 is: 163,808.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,566 : 111,258 = 111,258 : x
  2. Step 2: Convert to fraction form
    75,566/111,258 = 111,258/x
  3. Step 3: Cross multiply
    75,566x = 111,258 × 111,258
  4. Step 4: Simplify right side
    75,566x = 12,378,342,564
  5. Step 5: Solve for x
    x = 12,378,342,564/75,566
  6. Step 6: Final answer
    x = 163,808.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.