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Finding the Third Proportional to 46,521 and 100,287

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Solution

The third proportional to 46,521 and 100,287 is: 216,192.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,521 : 100,287 = 100,287 : x
  2. Step 2: Convert to fraction form
    46,521/100,287 = 100,287/x
  3. Step 3: Cross multiply
    46,521x = 100,287 × 100,287
  4. Step 4: Simplify right side
    46,521x = 10,057,482,369
  5. Step 5: Solve for x
    x = 10,057,482,369/46,521
  6. Step 6: Final answer
    x = 216,192.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.