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Finding the Third Proportional to 67,857.75 and 97,377.19

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Solution

The third proportional to 67,857.75 and 97,377.19 is: 139,738.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,857.75 : 97,377.19 = 97,377.19 : x
  2. Step 2: Convert to fraction form
    67,857.75/97,377.19 = 97,377.19/x
  3. Step 3: Cross multiply
    67,857.75x = 97,377.19 × 97,377.19
  4. Step 4: Simplify right side
    67,857.75x = 9,482,316,645.41
  5. Step 5: Solve for x
    x = 9,482,316,645.41/67,857.75
  6. Step 6: Final answer
    x = 139,738.15

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.