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Finding the Third Proportional to 110,688 and 166,143

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Solution

The third proportional to 110,688 and 166,143 is: 249,381.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,688 : 166,143 = 166,143 : x
  2. Step 2: Convert to fraction form
    110,688/166,143 = 166,143/x
  3. Step 3: Cross multiply
    110,688x = 166,143 × 166,143
  4. Step 4: Simplify right side
    110,688x = 27,603,496,449
  5. Step 5: Solve for x
    x = 27,603,496,449/110,688
  6. Step 6: Final answer
    x = 249,381.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.