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Finding the Third Proportional to 142,094 and 220,773

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Solution

The third proportional to 142,094 and 220,773 is: 343,017.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,094 : 220,773 = 220,773 : x
  2. Step 2: Convert to fraction form
    142,094/220,773 = 220,773/x
  3. Step 3: Cross multiply
    142,094x = 220,773 × 220,773
  4. Step 4: Simplify right side
    142,094x = 48,740,717,529
  5. Step 5: Solve for x
    x = 48,740,717,529/142,094
  6. Step 6: Final answer
    x = 343,017.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.