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Finding the Third Proportional to 53,141.06 and 81,124.03

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Solution

The third proportional to 53,141.06 and 81,124.03 is: 123,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,141.06 : 81,124.03 = 81,124.03 : x
  2. Step 2: Convert to fraction form
    53,141.06/81,124.03 = 81,124.03/x
  3. Step 3: Cross multiply
    53,141.06x = 81,124.03 × 81,124.03
  4. Step 4: Simplify right side
    53,141.06x = 6,581,108,446.25
  5. Step 5: Solve for x
    x = 6,581,108,446.25/53,141.06
  6. Step 6: Final answer
    x = 123,842.24

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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.