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Finding the Third Proportional to 119,028 and 157,967

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Solution

The third proportional to 119,028 and 157,967 is: 209,644.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,028 : 157,967 = 157,967 : x
  2. Step 2: Convert to fraction form
    119,028/157,967 = 157,967/x
  3. Step 3: Cross multiply
    119,028x = 157,967 × 157,967
  4. Step 4: Simplify right side
    119,028x = 24,953,573,089
  5. Step 5: Solve for x
    x = 24,953,573,089/119,028
  6. Step 6: Final answer
    x = 209,644.56

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.