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Finding the Third Proportional to 155,983 and 172,385

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Solution

The third proportional to 155,983 and 172,385 is: 190,511.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,983 : 172,385 = 172,385 : x
  2. Step 2: Convert to fraction form
    155,983/172,385 = 172,385/x
  3. Step 3: Cross multiply
    155,983x = 172,385 × 172,385
  4. Step 4: Simplify right side
    155,983x = 29,716,588,225
  5. Step 5: Solve for x
    x = 29,716,588,225/155,983
  6. Step 6: Final answer
    x = 190,511.71

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.