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Finding the Third Proportional to 41,548 and 90,709

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Solution

The third proportional to 41,548 and 90,709 is: 198,038.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,548 : 90,709 = 90,709 : x
  2. Step 2: Convert to fraction form
    41,548/90,709 = 90,709/x
  3. Step 3: Cross multiply
    41,548x = 90,709 × 90,709
  4. Step 4: Simplify right side
    41,548x = 8,228,122,681
  5. Step 5: Solve for x
    x = 8,228,122,681/41,548
  6. Step 6: Final answer
    x = 198,038.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.