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Finding the Third Proportional to 42,145 and 97,322

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Solution

The third proportional to 42,145 and 97,322 is: 224,737.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,145 : 97,322 = 97,322 : x
  2. Step 2: Convert to fraction form
    42,145/97,322 = 97,322/x
  3. Step 3: Cross multiply
    42,145x = 97,322 × 97,322
  4. Step 4: Simplify right side
    42,145x = 9,471,571,684
  5. Step 5: Solve for x
    x = 9,471,571,684/42,145
  6. Step 6: Final answer
    x = 224,737.73

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.