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Finding the Third Proportional to 124,214.34 and 268,111.69

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Solution

The third proportional to 124,214.34 and 268,111.69 is: 578,708.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,214.34 : 268,111.69 = 268,111.69 : x
  2. Step 2: Convert to fraction form
    124,214.34/268,111.69 = 268,111.69/x
  3. Step 3: Cross multiply
    124,214.34x = 268,111.69 × 268,111.69
  4. Step 4: Simplify right side
    124,214.34x = 71,883,876,974.10
  5. Step 5: Solve for x
    x = 71,883,876,974.10/124,214.34
  6. Step 6: Final answer
    x = 578,708.34

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.