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Finding the Third Proportional to 65,637.56 and 98,436.09

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Solution

The third proportional to 65,637.56 and 98,436.09 is: 147,623.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,637.56 : 98,436.09 = 98,436.09 : x
  2. Step 2: Convert to fraction form
    65,637.56/98,436.09 = 98,436.09/x
  3. Step 3: Cross multiply
    65,637.56x = 98,436.09 × 98,436.09
  4. Step 4: Simplify right side
    65,637.56x = 9,689,664,552.76
  5. Step 5: Solve for x
    x = 9,689,664,552.76/65,637.56
  6. Step 6: Final answer
    x = 147,623.77

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.