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Finding the Third Proportional to 121,036.78 and 258,544.41

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Solution

The third proportional to 121,036.78 and 258,544.41 is: 552,271.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,036.78 : 258,544.41 = 258,544.41 : x
  2. Step 2: Convert to fraction form
    121,036.78/258,544.41 = 258,544.41/x
  3. Step 3: Cross multiply
    121,036.78x = 258,544.41 × 258,544.41
  4. Step 4: Simplify right side
    121,036.78x = 66,845,210,003.17
  5. Step 5: Solve for x
    x = 66,845,210,003.17/121,036.78
  6. Step 6: Final answer
    x = 552,271.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.