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Finding the Third Proportional to 46,994 and 101,732

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Solution

The third proportional to 46,994 and 101,732 is: 220,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,994 : 101,732 = 101,732 : x
  2. Step 2: Convert to fraction form
    46,994/101,732 = 101,732/x
  3. Step 3: Cross multiply
    46,994x = 101,732 × 101,732
  4. Step 4: Simplify right side
    46,994x = 10,349,399,824
  5. Step 5: Solve for x
    x = 10,349,399,824/46,994
  6. Step 6: Final answer
    x = 220,228.11

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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.