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Finding the Third Proportional to 103,056.19 and 163,576.69

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Solution

The third proportional to 103,056.19 and 163,576.69 is: 259,638.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,056.19 : 163,576.69 = 163,576.69 : x
  2. Step 2: Convert to fraction form
    103,056.19/163,576.69 = 163,576.69/x
  3. Step 3: Cross multiply
    103,056.19x = 163,576.69 × 163,576.69
  4. Step 4: Simplify right side
    103,056.19x = 26,757,332,693.47
  5. Step 5: Solve for x
    x = 26,757,332,693.47/103,056.19
  6. Step 6: Final answer
    x = 259,638.29

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.