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Finding the Third Proportional to 32,172.19 and 70,890.19

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Solution

The third proportional to 32,172.19 and 70,890.19 is: 156,203.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,172.19 : 70,890.19 = 70,890.19 : x
  2. Step 2: Convert to fraction form
    32,172.19/70,890.19 = 70,890.19/x
  3. Step 3: Cross multiply
    32,172.19x = 70,890.19 × 70,890.19
  4. Step 4: Simplify right side
    32,172.19x = 5,025,418,683.79
  5. Step 5: Solve for x
    x = 5,025,418,683.79/32,172.19
  6. Step 6: Final answer
    x = 156,203.82

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.