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Finding the Third Proportional to 97,048 and 147,324

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Solution

The third proportional to 97,048 and 147,324 is: 223,645.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,048 : 147,324 = 147,324 : x
  2. Step 2: Convert to fraction form
    97,048/147,324 = 147,324/x
  3. Step 3: Cross multiply
    97,048x = 147,324 × 147,324
  4. Step 4: Simplify right side
    97,048x = 21,704,360,976
  5. Step 5: Solve for x
    x = 21,704,360,976/97,048
  6. Step 6: Final answer
    x = 223,645.63

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.