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Finding the Third Proportional to 51,478.50 and 112,798.50

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Solution

The third proportional to 51,478.50 and 112,798.50 is: 247,161.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,478.50 : 112,798.50 = 112,798.50 : x
  2. Step 2: Convert to fraction form
    51,478.50/112,798.50 = 112,798.50/x
  3. Step 3: Cross multiply
    51,478.50x = 112,798.50 × 112,798.50
  4. Step 4: Simplify right side
    51,478.50x = 12,723,501,602.25
  5. Step 5: Solve for x
    x = 12,723,501,602.25/51,478.50
  6. Step 6: Final answer
    x = 247,161.47

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.