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Finding the Third Proportional to 88,714 and 141,085

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Solution

The third proportional to 88,714 and 141,085 is: 224,372.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,714 : 141,085 = 141,085 : x
  2. Step 2: Convert to fraction form
    88,714/141,085 = 141,085/x
  3. Step 3: Cross multiply
    88,714x = 141,085 × 141,085
  4. Step 4: Simplify right side
    88,714x = 19,904,977,225
  5. Step 5: Solve for x
    x = 19,904,977,225/88,714
  6. Step 6: Final answer
    x = 224,372.45

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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.