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Finding the Third Proportional to 102,037.22 and 158,284.13

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Solution

The third proportional to 102,037.22 and 158,284.13 is: 245,536.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,037.22 : 158,284.13 = 158,284.13 : x
  2. Step 2: Convert to fraction form
    102,037.22/158,284.13 = 158,284.13/x
  3. Step 3: Cross multiply
    102,037.22x = 158,284.13 × 158,284.13
  4. Step 4: Simplify right side
    102,037.22x = 25,053,864,227.02
  5. Step 5: Solve for x
    x = 25,053,864,227.02/102,037.22
  6. Step 6: Final answer
    x = 245,536.53

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.