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Finding the Third Proportional to 54,312 and 112,008

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Solution

The third proportional to 54,312 and 112,008 is: 230,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,312 : 112,008 = 112,008 : x
  2. Step 2: Convert to fraction form
    54,312/112,008 = 112,008/x
  3. Step 3: Cross multiply
    54,312x = 112,008 × 112,008
  4. Step 4: Simplify right side
    54,312x = 12,545,792,064
  5. Step 5: Solve for x
    x = 12,545,792,064/54,312
  6. Step 6: Final answer
    x = 230,994.85

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.