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Finding the Third Proportional to 46,252 and 99,518

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Solution

The third proportional to 46,252 and 99,518 is: 214,127.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,252 : 99,518 = 99,518 : x
  2. Step 2: Convert to fraction form
    46,252/99,518 = 99,518/x
  3. Step 3: Cross multiply
    46,252x = 99,518 × 99,518
  4. Step 4: Simplify right side
    46,252x = 9,903,832,324
  5. Step 5: Solve for x
    x = 9,903,832,324/46,252
  6. Step 6: Final answer
    x = 214,127.66

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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.