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Finding the Third Proportional to 51,962.50 and 112,227.50

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Solution

The third proportional to 51,962.50 and 112,227.50 is: 242,386.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,962.50 : 112,227.50 = 112,227.50 : x
  2. Step 2: Convert to fraction form
    51,962.50/112,227.50 = 112,227.50/x
  3. Step 3: Cross multiply
    51,962.50x = 112,227.50 × 112,227.50
  4. Step 4: Simplify right side
    51,962.50x = 12,595,011,756.25
  5. Step 5: Solve for x
    x = 12,595,011,756.25/51,962.50
  6. Step 6: Final answer
    x = 242,386.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.