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Finding the Third Proportional to 124,029 and 197,118

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Solution

The third proportional to 124,029 and 197,118 is: 313,277.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,029 : 197,118 = 197,118 : x
  2. Step 2: Convert to fraction form
    124,029/197,118 = 197,118/x
  3. Step 3: Cross multiply
    124,029x = 197,118 × 197,118
  4. Step 4: Simplify right side
    124,029x = 38,855,505,924
  5. Step 5: Solve for x
    x = 38,855,505,924/124,029
  6. Step 6: Final answer
    x = 313,277.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.