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Finding the Third Proportional to 41,713 and 90,139

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Solution

The third proportional to 41,713 and 90,139 is: 194,784.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,713 : 90,139 = 90,139 : x
  2. Step 2: Convert to fraction form
    41,713/90,139 = 90,139/x
  3. Step 3: Cross multiply
    41,713x = 90,139 × 90,139
  4. Step 4: Simplify right side
    41,713x = 8,125,039,321
  5. Step 5: Solve for x
    x = 8,125,039,321/41,713
  6. Step 6: Final answer
    x = 194,784.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.