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Finding the Third Proportional to 141,365.25 and 185,803.88

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Solution

The third proportional to 141,365.25 and 185,803.88 is: 244,211.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,365.25 : 185,803.88 = 185,803.88 : x
  2. Step 2: Convert to fraction form
    141,365.25/185,803.88 = 185,803.88/x
  3. Step 3: Cross multiply
    141,365.25x = 185,803.88 × 185,803.88
  4. Step 4: Simplify right side
    141,365.25x = 34,523,079,965.02
  5. Step 5: Solve for x
    x = 34,523,079,965.02/141,365.25
  6. Step 6: Final answer
    x = 244,211.93

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.