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Finding the Third Proportional to 88,713 and 141,083

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Solution

The third proportional to 88,713 and 141,083 is: 224,368.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,713 : 141,083 = 141,083 : x
  2. Step 2: Convert to fraction form
    88,713/141,083 = 141,083/x
  3. Step 3: Cross multiply
    88,713x = 141,083 × 141,083
  4. Step 4: Simplify right side
    88,713x = 19,904,412,889
  5. Step 5: Solve for x
    x = 19,904,412,889/88,713
  6. Step 6: Final answer
    x = 224,368.61

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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.