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Finding the Third Proportional to 65,733.19 and 143,904.94

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Solution

The third proportional to 65,733.19 and 143,904.94 is: 315,040.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,733.19 : 143,904.94 = 143,904.94 : x
  2. Step 2: Convert to fraction form
    65,733.19/143,904.94 = 143,904.94/x
  3. Step 3: Cross multiply
    65,733.19x = 143,904.94 × 143,904.94
  4. Step 4: Simplify right side
    65,733.19x = 20,708,631,036.88
  5. Step 5: Solve for x
    x = 20,708,631,036.88/65,733.19
  6. Step 6: Final answer
    x = 315,040.72

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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.