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Finding the Third Proportional to 44,148 and 90,624

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Solution

The third proportional to 44,148 and 90,624 is: 186,026.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,148 : 90,624 = 90,624 : x
  2. Step 2: Convert to fraction form
    44,148/90,624 = 90,624/x
  3. Step 3: Cross multiply
    44,148x = 90,624 × 90,624
  4. Step 4: Simplify right side
    44,148x = 8,212,709,376
  5. Step 5: Solve for x
    x = 8,212,709,376/44,148
  6. Step 6: Final answer
    x = 186,026.76

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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.