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Finding the Third Proportional to 65,700.75 and 144,118.50

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Solution

The third proportional to 65,700.75 and 144,118.50 is: 316,132.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,700.75 : 144,118.50 = 144,118.50 : x
  2. Step 2: Convert to fraction form
    65,700.75/144,118.50 = 144,118.50/x
  3. Step 3: Cross multiply
    65,700.75x = 144,118.50 × 144,118.50
  4. Step 4: Simplify right side
    65,700.75x = 20,770,142,042.25
  5. Step 5: Solve for x
    x = 20,770,142,042.25/65,700.75
  6. Step 6: Final answer
    x = 316,132.50

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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.