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Finding the Third Proportional to 56,201.20 and 117,598.22

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Solution

The third proportional to 56,201.20 and 117,598.22 is: 246,068.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,201.20 : 117,598.22 = 117,598.22 : x
  2. Step 2: Convert to fraction form
    56,201.20/117,598.22 = 117,598.22/x
  3. Step 3: Cross multiply
    56,201.20x = 117,598.22 × 117,598.22
  4. Step 4: Simplify right side
    56,201.20x = 13,829,341,053.17
  5. Step 5: Solve for x
    x = 13,829,341,053.17/56,201.20
  6. Step 6: Final answer
    x = 246,068.42

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.