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Finding the Third Proportional to 109,527.19 and 159,982.59

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Solution

The third proportional to 109,527.19 and 159,982.59 is: 233,681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,527.19 : 159,982.59 = 159,982.59 : x
  2. Step 2: Convert to fraction form
    109,527.19/159,982.59 = 159,982.59/x
  3. Step 3: Cross multiply
    109,527.19x = 159,982.59 × 159,982.59
  4. Step 4: Simplify right side
    109,527.19x = 25,594,430,302.98
  5. Step 5: Solve for x
    x = 25,594,430,302.98/109,527.19
  6. Step 6: Final answer
    x = 233,681.07

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.