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Finding the Third Proportional to 46,481 and 71,117

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Solution

The third proportional to 46,481 and 71,117 is: 108,810.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,481 : 71,117 = 71,117 : x
  2. Step 2: Convert to fraction form
    46,481/71,117 = 71,117/x
  3. Step 3: Cross multiply
    46,481x = 71,117 × 71,117
  4. Step 4: Simplify right side
    46,481x = 5,057,627,689
  5. Step 5: Solve for x
    x = 5,057,627,689/46,481
  6. Step 6: Final answer
    x = 108,810.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.