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Finding the Third Proportional to 90,639 and 145,921.50

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Solution

The third proportional to 90,639 and 145,921.50 is: 234,921.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,639 : 145,921.50 = 145,921.50 : x
  2. Step 2: Convert to fraction form
    90,639/145,921.50 = 145,921.50/x
  3. Step 3: Cross multiply
    90,639x = 145,921.50 × 145,921.50
  4. Step 4: Simplify right side
    90,639x = 21,293,084,162.25
  5. Step 5: Solve for x
    x = 21,293,084,162.25/90,639
  6. Step 6: Final answer
    x = 234,921.88

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.