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Finding the Third Proportional to 65,068.50 and 142,593

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Solution

The third proportional to 65,068.50 and 142,593 is: 312,482.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,068.50 : 142,593 = 142,593 : x
  2. Step 2: Convert to fraction form
    65,068.50/142,593 = 142,593/x
  3. Step 3: Cross multiply
    65,068.50x = 142,593 × 142,593
  4. Step 4: Simplify right side
    65,068.50x = 20,332,763,649
  5. Step 5: Solve for x
    x = 20,332,763,649/65,068.50
  6. Step 6: Final answer
    x = 312,482.44

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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.