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Finding the Third Proportional to 111,053 and 166,397

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Solution

The third proportional to 111,053 and 166,397 is: 249,322.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,053 : 166,397 = 166,397 : x
  2. Step 2: Convert to fraction form
    111,053/166,397 = 166,397/x
  3. Step 3: Cross multiply
    111,053x = 166,397 × 166,397
  4. Step 4: Simplify right side
    111,053x = 27,687,961,609
  5. Step 5: Solve for x
    x = 27,687,961,609/111,053
  6. Step 6: Final answer
    x = 249,322.05

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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.