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Finding the Third Proportional to 51,936.98 and 112,177.72

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Solution

The third proportional to 51,936.98 and 112,177.72 is: 242,290.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,936.98 : 112,177.72 = 112,177.72 : x
  2. Step 2: Convert to fraction form
    51,936.98/112,177.72 = 112,177.72/x
  3. Step 3: Cross multiply
    51,936.98x = 112,177.72 × 112,177.72
  4. Step 4: Simplify right side
    51,936.98x = 12,583,841,460.34
  5. Step 5: Solve for x
    x = 12,583,841,460.34/51,936.98
  6. Step 6: Final answer
    x = 242,290.60

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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.