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Finding the Third Proportional to 46,052 and 99,107

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Solution

The third proportional to 46,052 and 99,107 is: 213,284.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,052 : 99,107 = 99,107 : x
  2. Step 2: Convert to fraction form
    46,052/99,107 = 99,107/x
  3. Step 3: Cross multiply
    46,052x = 99,107 × 99,107
  4. Step 4: Simplify right side
    46,052x = 9,822,197,449
  5. Step 5: Solve for x
    x = 9,822,197,449/46,052
  6. Step 6: Final answer
    x = 213,284.93

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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.