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Finding the Third Proportional to 64,705.50 and 141,439.50

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Solution

The third proportional to 64,705.50 and 141,439.50 is: 309,172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,705.50 : 141,439.50 = 141,439.50 : x
  2. Step 2: Convert to fraction form
    64,705.50/141,439.50 = 141,439.50/x
  3. Step 3: Cross multiply
    64,705.50x = 141,439.50 × 141,439.50
  4. Step 4: Simplify right side
    64,705.50x = 20,005,132,160.25
  5. Step 5: Solve for x
    x = 20,005,132,160.25/64,705.50
  6. Step 6: Final answer
    x = 309,172.05

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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.