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Finding the Third Proportional to 44,140 and 96,481

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Solution

The third proportional to 44,140 and 96,481 is: 210,887.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,140 : 96,481 = 96,481 : x
  2. Step 2: Convert to fraction form
    44,140/96,481 = 96,481/x
  3. Step 3: Cross multiply
    44,140x = 96,481 × 96,481
  4. Step 4: Simplify right side
    44,140x = 9,308,583,361
  5. Step 5: Solve for x
    x = 9,308,583,361/44,140
  6. Step 6: Final answer
    x = 210,887.71

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.