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Finding the Third Proportional to 105,882.19 and 159,058.69

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Solution

The third proportional to 105,882.19 and 159,058.69 is: 238,941.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,882.19 : 159,058.69 = 159,058.69 : x
  2. Step 2: Convert to fraction form
    105,882.19/159,058.69 = 159,058.69/x
  3. Step 3: Cross multiply
    105,882.19x = 159,058.69 × 159,058.69
  4. Step 4: Simplify right side
    105,882.19x = 25,299,666,069.22
  5. Step 5: Solve for x
    x = 25,299,666,069.22/105,882.19
  6. Step 6: Final answer
    x = 238,941.66

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.