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Finding the Third Proportional to 46,762 and 99,632

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Solution

The third proportional to 46,762 and 99,632 is: 212,277.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,762 : 99,632 = 99,632 : x
  2. Step 2: Convert to fraction form
    46,762/99,632 = 99,632/x
  3. Step 3: Cross multiply
    46,762x = 99,632 × 99,632
  4. Step 4: Simplify right side
    46,762x = 9,926,535,424
  5. Step 5: Solve for x
    x = 9,926,535,424/46,762
  6. Step 6: Final answer
    x = 212,277.82

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.