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Finding the Third Proportional to 95,098.50 and 142,349.63

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Solution

The third proportional to 95,098.50 and 142,349.63 is: 213,078.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,098.50 : 142,349.63 = 142,349.63 : x
  2. Step 2: Convert to fraction form
    95,098.50/142,349.63 = 142,349.63/x
  3. Step 3: Cross multiply
    95,098.50x = 142,349.63 × 142,349.63
  4. Step 4: Simplify right side
    95,098.50x = 20,263,415,737.64
  5. Step 5: Solve for x
    x = 20,263,415,737.64/95,098.50
  6. Step 6: Final answer
    x = 213,078.18

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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.