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Finding the Third Proportional to 108,022 and 158,385

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Solution

The third proportional to 108,022 and 158,385 is: 232,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,022 : 158,385 = 158,385 : x
  2. Step 2: Convert to fraction form
    108,022/158,385 = 158,385/x
  3. Step 3: Cross multiply
    108,022x = 158,385 × 158,385
  4. Step 4: Simplify right side
    108,022x = 25,085,808,225
  5. Step 5: Solve for x
    x = 25,085,808,225/108,022
  6. Step 6: Final answer
    x = 232,228.70

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.