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Finding the Third Proportional to 56,377 and 89,203

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Solution

The third proportional to 56,377 and 89,203 is: 141,142.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,377 : 89,203 = 89,203 : x
  2. Step 2: Convert to fraction form
    56,377/89,203 = 89,203/x
  3. Step 3: Cross multiply
    56,377x = 89,203 × 89,203
  4. Step 4: Simplify right side
    56,377x = 7,957,175,209
  5. Step 5: Solve for x
    x = 7,957,175,209/56,377
  6. Step 6: Final answer
    x = 141,142.22

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.