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Finding the Third Proportional to 65,088.56 and 142,661.25

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Solution

The third proportional to 65,088.56 and 142,661.25 is: 312,685.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,088.56 : 142,661.25 = 142,661.25 : x
  2. Step 2: Convert to fraction form
    65,088.56/142,661.25 = 142,661.25/x
  3. Step 3: Cross multiply
    65,088.56x = 142,661.25 × 142,661.25
  4. Step 4: Simplify right side
    65,088.56x = 20,352,232,251.56
  5. Step 5: Solve for x
    x = 20,352,232,251.56/65,088.56
  6. Step 6: Final answer
    x = 312,685.23

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.