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Finding the Third Proportional to 142,102 and 218,986

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Solution

The third proportional to 142,102 and 218,986 is: 337,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,102 : 218,986 = 218,986 : x
  2. Step 2: Convert to fraction form
    142,102/218,986 = 218,986/x
  3. Step 3: Cross multiply
    142,102x = 218,986 × 218,986
  4. Step 4: Simplify right side
    142,102x = 47,954,868,196
  5. Step 5: Solve for x
    x = 47,954,868,196/142,102
  6. Step 6: Final answer
    x = 337,467.93

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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.