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Finding the Third Proportional to 51,822.50 and 112,393.13

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Solution

The third proportional to 51,822.50 and 112,393.13 is: 243,759.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,822.50 : 112,393.13 = 112,393.13 : x
  2. Step 2: Convert to fraction form
    51,822.50/112,393.13 = 112,393.13/x
  3. Step 3: Cross multiply
    51,822.50x = 112,393.13 × 112,393.13
  4. Step 4: Simplify right side
    51,822.50x = 12,632,214,547.27
  5. Step 5: Solve for x
    x = 12,632,214,547.27/51,822.50
  6. Step 6: Final answer
    x = 243,759.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.