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Finding the Third Proportional to 52,170 and 114,186

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Solution

The third proportional to 52,170 and 114,186 is: 249,922.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,170 : 114,186 = 114,186 : x
  2. Step 2: Convert to fraction form
    52,170/114,186 = 114,186/x
  3. Step 3: Cross multiply
    52,170x = 114,186 × 114,186
  4. Step 4: Simplify right side
    52,170x = 13,038,442,596
  5. Step 5: Solve for x
    x = 13,038,442,596/52,170
  6. Step 6: Final answer
    x = 249,922.23

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.