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Finding the Third Proportional to 65,642.63 and 144,002.25

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Solution

The third proportional to 65,642.63 and 144,002.25 is: 315,902.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,642.63 : 144,002.25 = 144,002.25 : x
  2. Step 2: Convert to fraction form
    65,642.63/144,002.25 = 144,002.25/x
  3. Step 3: Cross multiply
    65,642.63x = 144,002.25 × 144,002.25
  4. Step 4: Simplify right side
    65,642.63x = 20,736,648,005.06
  5. Step 5: Solve for x
    x = 20,736,648,005.06/65,642.63
  6. Step 6: Final answer
    x = 315,902.17

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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.