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Finding the Third Proportional to 46,264 and 99,545

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Solution

The third proportional to 46,264 and 99,545 is: 214,188.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,264 : 99,545 = 99,545 : x
  2. Step 2: Convert to fraction form
    46,264/99,545 = 99,545/x
  3. Step 3: Cross multiply
    46,264x = 99,545 × 99,545
  4. Step 4: Simplify right side
    46,264x = 9,909,207,025
  5. Step 5: Solve for x
    x = 9,909,207,025/46,264
  6. Step 6: Final answer
    x = 214,188.29

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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.