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Finding the Third Proportional to 118,215 and 172,921.50

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Solution

The third proportional to 118,215 and 172,921.50 is: 252,944.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,215 : 172,921.50 = 172,921.50 : x
  2. Step 2: Convert to fraction form
    118,215/172,921.50 = 172,921.50/x
  3. Step 3: Cross multiply
    118,215x = 172,921.50 × 172,921.50
  4. Step 4: Simplify right side
    118,215x = 29,901,845,162.25
  5. Step 5: Solve for x
    x = 29,901,845,162.25/118,215
  6. Step 6: Final answer
    x = 252,944.59

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.