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Finding the Third Proportional to 94,086 and 144,127

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Solution

The third proportional to 94,086 and 144,127 is: 220,783.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,086 : 144,127 = 144,127 : x
  2. Step 2: Convert to fraction form
    94,086/144,127 = 144,127/x
  3. Step 3: Cross multiply
    94,086x = 144,127 × 144,127
  4. Step 4: Simplify right side
    94,086x = 20,772,592,129
  5. Step 5: Solve for x
    x = 20,772,592,129/94,086
  6. Step 6: Final answer
    x = 220,783.03

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.