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Finding the Third Proportional to 45,393 and 97,022

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Solution

The third proportional to 45,393 and 97,022 is: 207,372.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,393 : 97,022 = 97,022 : x
  2. Step 2: Convert to fraction form
    45,393/97,022 = 97,022/x
  3. Step 3: Cross multiply
    45,393x = 97,022 × 97,022
  4. Step 4: Simplify right side
    45,393x = 9,413,268,484
  5. Step 5: Solve for x
    x = 9,413,268,484/45,393
  6. Step 6: Final answer
    x = 207,372.69

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.