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Finding the Third Proportional to 96,602 and 142,110

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Solution

The third proportional to 96,602 and 142,110 is: 209,056.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,602 : 142,110 = 142,110 : x
  2. Step 2: Convert to fraction form
    96,602/142,110 = 142,110/x
  3. Step 3: Cross multiply
    96,602x = 142,110 × 142,110
  4. Step 4: Simplify right side
    96,602x = 20,195,252,100
  5. Step 5: Solve for x
    x = 20,195,252,100/96,602
  6. Step 6: Final answer
    x = 209,056.25

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.