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Finding the Third Proportional to 46,911 and 99,972

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Solution

The third proportional to 46,911 and 99,972 is: 213,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,911 : 99,972 = 99,972 : x
  2. Step 2: Convert to fraction form
    46,911/99,972 = 99,972/x
  3. Step 3: Cross multiply
    46,911x = 99,972 × 99,972
  4. Step 4: Simplify right side
    46,911x = 9,994,400,784
  5. Step 5: Solve for x
    x = 9,994,400,784/46,911
  6. Step 6: Final answer
    x = 213,050.26

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.