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Finding the Third Proportional to 121,014 and 325,134

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Solution

The third proportional to 121,014 and 325,134 is: 873,552.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,014 : 325,134 = 325,134 : x
  2. Step 2: Convert to fraction form
    121,014/325,134 = 325,134/x
  3. Step 3: Cross multiply
    121,014x = 325,134 × 325,134
  4. Step 4: Simplify right side
    121,014x = 105,712,117,956
  5. Step 5: Solve for x
    x = 105,712,117,956/121,014
  6. Step 6: Final answer
    x = 873,552.80

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.