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Finding the Third Proportional to 46,332 and 74,601

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Solution

The third proportional to 46,332 and 74,601 is: 120,118.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,332 : 74,601 = 74,601 : x
  2. Step 2: Convert to fraction form
    46,332/74,601 = 74,601/x
  3. Step 3: Cross multiply
    46,332x = 74,601 × 74,601
  4. Step 4: Simplify right side
    46,332x = 5,565,309,201
  5. Step 5: Solve for x
    x = 5,565,309,201/46,332
  6. Step 6: Final answer
    x = 120,118.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.