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Finding the Third Proportional to 56,970 and 91,530

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Solution

The third proportional to 56,970 and 91,530 is: 147,055.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,970 : 91,530 = 91,530 : x
  2. Step 2: Convert to fraction form
    56,970/91,530 = 91,530/x
  3. Step 3: Cross multiply
    56,970x = 91,530 × 91,530
  4. Step 4: Simplify right side
    56,970x = 8,377,740,900
  5. Step 5: Solve for x
    x = 8,377,740,900/56,970
  6. Step 6: Final answer
    x = 147,055.31

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.