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Finding the Third Proportional to 112,906 and 243,631

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Solution

The third proportional to 112,906 and 243,631 is: 525,712.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,906 : 243,631 = 243,631 : x
  2. Step 2: Convert to fraction form
    112,906/243,631 = 243,631/x
  3. Step 3: Cross multiply
    112,906x = 243,631 × 243,631
  4. Step 4: Simplify right side
    112,906x = 59,356,064,161
  5. Step 5: Solve for x
    x = 59,356,064,161/112,906
  6. Step 6: Final answer
    x = 525,712.22

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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.