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Finding the Third Proportional to 65,670.75 and 144,051.75

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Solution

The third proportional to 65,670.75 and 144,051.75 is: 315,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,670.75 : 144,051.75 = 144,051.75 : x
  2. Step 2: Convert to fraction form
    65,670.75/144,051.75 = 144,051.75/x
  3. Step 3: Cross multiply
    65,670.75x = 144,051.75 × 144,051.75
  4. Step 4: Simplify right side
    65,670.75x = 20,750,906,678.06
  5. Step 5: Solve for x
    x = 20,750,906,678.06/65,670.75
  6. Step 6: Final answer
    x = 315,984.01

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Why These Related Problems?

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