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Finding the Third Proportional to 102,342 and 157,881

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Solution

The third proportional to 102,342 and 157,881 is: 243,559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,342 : 157,881 = 157,881 : x
  2. Step 2: Convert to fraction form
    102,342/157,881 = 157,881/x
  3. Step 3: Cross multiply
    102,342x = 157,881 × 157,881
  4. Step 4: Simplify right side
    102,342x = 24,926,410,161
  5. Step 5: Solve for x
    x = 24,926,410,161/102,342
  6. Step 6: Final answer
    x = 243,559.93

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.