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Finding the Third Proportional to 53,143 and 81,127

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Solution

The third proportional to 53,143 and 81,127 is: 123,846.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,143 : 81,127 = 81,127 : x
  2. Step 2: Convert to fraction form
    53,143/81,127 = 81,127/x
  3. Step 3: Cross multiply
    53,143x = 81,127 × 81,127
  4. Step 4: Simplify right side
    53,143x = 6,581,590,129
  5. Step 5: Solve for x
    x = 6,581,590,129/53,143
  6. Step 6: Final answer
    x = 123,846.79

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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.