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Finding the Third Proportional to 51,964 and 112,220

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Solution

The third proportional to 51,964 and 112,220 is: 242,347.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,964 : 112,220 = 112,220 : x
  2. Step 2: Convert to fraction form
    51,964/112,220 = 112,220/x
  3. Step 3: Cross multiply
    51,964x = 112,220 × 112,220
  4. Step 4: Simplify right side
    51,964x = 12,593,328,400
  5. Step 5: Solve for x
    x = 12,593,328,400/51,964
  6. Step 6: Final answer
    x = 242,347.17

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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.