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Finding the Third Proportional to 44,538 and 94,854

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Solution

The third proportional to 44,538 and 94,854 is: 202,013.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,538 : 94,854 = 94,854 : x
  2. Step 2: Convert to fraction form
    44,538/94,854 = 94,854/x
  3. Step 3: Cross multiply
    44,538x = 94,854 × 94,854
  4. Step 4: Simplify right side
    44,538x = 8,997,281,316
  5. Step 5: Solve for x
    x = 8,997,281,316/44,538
  6. Step 6: Final answer
    x = 202,013.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.