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Finding the Third Proportional to 102,037.22 and 153,158.34

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Solution

The third proportional to 102,037.22 and 153,158.34 is: 229,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,037.22 : 153,158.34 = 153,158.34 : x
  2. Step 2: Convert to fraction form
    102,037.22/153,158.34 = 153,158.34/x
  3. Step 3: Cross multiply
    102,037.22x = 153,158.34 × 153,158.34
  4. Step 4: Simplify right side
    102,037.22x = 23,457,478,260.24
  5. Step 5: Solve for x
    x = 23,457,478,260.24/102,037.22
  6. Step 6: Final answer
    x = 229,891.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.