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Finding the Third Proportional to 54,964 and 112,840

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Solution

The third proportional to 54,964 and 112,840 is: 231,658.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,964 : 112,840 = 112,840 : x
  2. Step 2: Convert to fraction form
    54,964/112,840 = 112,840/x
  3. Step 3: Cross multiply
    54,964x = 112,840 × 112,840
  4. Step 4: Simplify right side
    54,964x = 12,732,865,600
  5. Step 5: Solve for x
    x = 12,732,865,600/54,964
  6. Step 6: Final answer
    x = 231,658.28

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.