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Finding the Third Proportional to 46,060 and 99,166

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Solution

The third proportional to 46,060 and 99,166 is: 213,501.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,060 : 99,166 = 99,166 : x
  2. Step 2: Convert to fraction form
    46,060/99,166 = 99,166/x
  3. Step 3: Cross multiply
    46,060x = 99,166 × 99,166
  4. Step 4: Simplify right side
    46,060x = 9,833,895,556
  5. Step 5: Solve for x
    x = 9,833,895,556/46,060
  6. Step 6: Final answer
    x = 213,501.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.