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Finding the Third Proportional to 73,827.28 and 161,955.28

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Solution

The third proportional to 73,827.28 and 161,955.28 is: 355,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,827.28 : 161,955.28 = 161,955.28 : x
  2. Step 2: Convert to fraction form
    73,827.28/161,955.28 = 161,955.28/x
  3. Step 3: Cross multiply
    73,827.28x = 161,955.28 × 161,955.28
  4. Step 4: Simplify right side
    73,827.28x = 26,229,513,124.77
  5. Step 5: Solve for x
    x = 26,229,513,124.77/73,827.28
  6. Step 6: Final answer
    x = 355,282.12

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.