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Finding the Third Proportional to 142,938 and 215,863

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Solution

The third proportional to 142,938 and 215,863 is: 325,993.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,938 : 215,863 = 215,863 : x
  2. Step 2: Convert to fraction form
    142,938/215,863 = 215,863/x
  3. Step 3: Cross multiply
    142,938x = 215,863 × 215,863
  4. Step 4: Simplify right side
    142,938x = 46,596,834,769
  5. Step 5: Solve for x
    x = 46,596,834,769/142,938
  6. Step 6: Final answer
    x = 325,993.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.