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Finding the Third Proportional to 111,412 and 168,088

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Solution

The third proportional to 111,412 and 168,088 is: 253,595.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,412 : 168,088 = 168,088 : x
  2. Step 2: Convert to fraction form
    111,412/168,088 = 168,088/x
  3. Step 3: Cross multiply
    111,412x = 168,088 × 168,088
  4. Step 4: Simplify right side
    111,412x = 28,253,575,744
  5. Step 5: Solve for x
    x = 28,253,575,744/111,412
  6. Step 6: Final answer
    x = 253,595.45

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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.