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Finding the Third Proportional to 75,322 and 148,740

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Solution

The third proportional to 75,322 and 148,740 is: 293,720.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,322 : 148,740 = 148,740 : x
  2. Step 2: Convert to fraction form
    75,322/148,740 = 148,740/x
  3. Step 3: Cross multiply
    75,322x = 148,740 × 148,740
  4. Step 4: Simplify right side
    75,322x = 22,123,587,600
  5. Step 5: Solve for x
    x = 22,123,587,600/75,322
  6. Step 6: Final answer
    x = 293,720.13

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.