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Finding the Third Proportional to 95,892.63 and 143,838.94

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Solution

The third proportional to 95,892.63 and 143,838.94 is: 215,758.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,892.63 : 143,838.94 = 143,838.94 : x
  2. Step 2: Convert to fraction form
    95,892.63/143,838.94 = 143,838.94/x
  3. Step 3: Cross multiply
    95,892.63x = 143,838.94 × 143,838.94
  4. Step 4: Simplify right side
    95,892.63x = 20,689,639,941.13
  5. Step 5: Solve for x
    x = 20,689,639,941.13/95,892.63
  6. Step 6: Final answer
    x = 215,758.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.