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Finding the Third Proportional to 51,927.47 and 112,967.44

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Solution

The third proportional to 51,927.47 and 112,967.44 is: 245,758.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,927.47 : 112,967.44 = 112,967.44 : x
  2. Step 2: Convert to fraction form
    51,927.47/112,967.44 = 112,967.44/x
  3. Step 3: Cross multiply
    51,927.47x = 112,967.44 × 112,967.44
  4. Step 4: Simplify right side
    51,927.47x = 12,761,641,935.32
  5. Step 5: Solve for x
    x = 12,761,641,935.32/51,927.47
  6. Step 6: Final answer
    x = 245,758.98

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.