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Finding the Third Proportional to 141,122.37 and 205,748.86

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Solution

The third proportional to 141,122.37 and 205,748.86 is: 299,970.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,122.37 : 205,748.86 = 205,748.86 : x
  2. Step 2: Convert to fraction form
    141,122.37/205,748.86 = 205,748.86/x
  3. Step 3: Cross multiply
    141,122.37x = 205,748.86 × 205,748.86
  4. Step 4: Simplify right side
    141,122.37x = 42,332,593,134.11
  5. Step 5: Solve for x
    x = 42,332,593,134.11/141,122.37
  6. Step 6: Final answer
    x = 299,970.82

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.