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Finding the Third Proportional to 46,576 and 95,312

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Solution

The third proportional to 46,576 and 95,312 is: 195,044.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,576 : 95,312 = 95,312 : x
  2. Step 2: Convert to fraction form
    46,576/95,312 = 95,312/x
  3. Step 3: Cross multiply
    46,576x = 95,312 × 95,312
  4. Step 4: Simplify right side
    46,576x = 9,084,377,344
  5. Step 5: Solve for x
    x = 9,084,377,344/46,576
  6. Step 6: Final answer
    x = 195,044.17

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.