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Finding the Third Proportional to 44,730 and 91,539

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Solution

The third proportional to 44,730 and 91,539 is: 187,332.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,730 : 91,539 = 91,539 : x
  2. Step 2: Convert to fraction form
    44,730/91,539 = 91,539/x
  3. Step 3: Cross multiply
    44,730x = 91,539 × 91,539
  4. Step 4: Simplify right side
    44,730x = 8,379,388,521
  5. Step 5: Solve for x
    x = 8,379,388,521/44,730
  6. Step 6: Final answer
    x = 187,332.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.