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Finding the Third Proportional to 121,062 and 258,594

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Solution

The third proportional to 121,062 and 258,594 is: 552,368.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,062 : 258,594 = 258,594 : x
  2. Step 2: Convert to fraction form
    121,062/258,594 = 258,594/x
  3. Step 3: Cross multiply
    121,062x = 258,594 × 258,594
  4. Step 4: Simplify right side
    121,062x = 66,870,856,836
  5. Step 5: Solve for x
    x = 66,870,856,836/121,062
  6. Step 6: Final answer
    x = 552,368.68

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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.