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Finding the Third Proportional to 134,114 and 198,031

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Solution

The third proportional to 134,114 and 198,031 is: 292,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,114 : 198,031 = 198,031 : x
  2. Step 2: Convert to fraction form
    134,114/198,031 = 198,031/x
  3. Step 3: Cross multiply
    134,114x = 198,031 × 198,031
  4. Step 4: Simplify right side
    134,114x = 39,216,276,961
  5. Step 5: Solve for x
    x = 39,216,276,961/134,114
  6. Step 6: Final answer
    x = 292,410.02

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.