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Finding the Third Proportional to 51,968 and 112,342

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Solution

The third proportional to 51,968 and 112,342 is: 242,855.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,968 : 112,342 = 112,342 : x
  2. Step 2: Convert to fraction form
    51,968/112,342 = 112,342/x
  3. Step 3: Cross multiply
    51,968x = 112,342 × 112,342
  4. Step 4: Simplify right side
    51,968x = 12,620,724,964
  5. Step 5: Solve for x
    x = 12,620,724,964/51,968
  6. Step 6: Final answer
    x = 242,855.70

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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.