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Finding the Third Proportional to 104,505 and 159,214.50

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Solution

The third proportional to 104,505 and 159,214.50 is: 242,565.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,505 : 159,214.50 = 159,214.50 : x
  2. Step 2: Convert to fraction form
    104,505/159,214.50 = 159,214.50/x
  3. Step 3: Cross multiply
    104,505x = 159,214.50 × 159,214.50
  4. Step 4: Simplify right side
    104,505x = 25,349,257,010.25
  5. Step 5: Solve for x
    x = 25,349,257,010.25/104,505
  6. Step 6: Final answer
    x = 242,565.02

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.