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Finding the Third Proportional to 51,998.63 and 106,461

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Solution

The third proportional to 51,998.63 and 106,461 is: 217,966.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,998.63 : 106,461 = 106,461 : x
  2. Step 2: Convert to fraction form
    51,998.63/106,461 = 106,461/x
  3. Step 3: Cross multiply
    51,998.63x = 106,461 × 106,461
  4. Step 4: Simplify right side
    51,998.63x = 11,333,944,521
  5. Step 5: Solve for x
    x = 11,333,944,521/51,998.63
  6. Step 6: Final answer
    x = 217,966.24

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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.