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Finding the Third Proportional to 46,595 and 99,751

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Solution

The third proportional to 46,595 and 99,751 is: 213,547.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,595 : 99,751 = 99,751 : x
  2. Step 2: Convert to fraction form
    46,595/99,751 = 99,751/x
  3. Step 3: Cross multiply
    46,595x = 99,751 × 99,751
  4. Step 4: Simplify right side
    46,595x = 9,950,262,001
  5. Step 5: Solve for x
    x = 9,950,262,001/46,595
  6. Step 6: Final answer
    x = 213,547.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.