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Finding the Third Proportional to 44,050 and 91,748

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Solution

The third proportional to 44,050 and 91,748 is: 191,094.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,050 : 91,748 = 91,748 : x
  2. Step 2: Convert to fraction form
    44,050/91,748 = 91,748/x
  3. Step 3: Cross multiply
    44,050x = 91,748 × 91,748
  4. Step 4: Simplify right side
    44,050x = 8,417,695,504
  5. Step 5: Solve for x
    x = 8,417,695,504/44,050
  6. Step 6: Final answer
    x = 191,094.11

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.