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Finding the Third Proportional to 67,244.50 and 101,157

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Solution

The third proportional to 67,244.50 and 101,157 is: 152,172.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,244.50 : 101,157 = 101,157 : x
  2. Step 2: Convert to fraction form
    67,244.50/101,157 = 101,157/x
  3. Step 3: Cross multiply
    67,244.50x = 101,157 × 101,157
  4. Step 4: Simplify right side
    67,244.50x = 10,232,738,649
  5. Step 5: Solve for x
    x = 10,232,738,649/67,244.50
  6. Step 6: Final answer
    x = 152,172.13

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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.