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Finding the Third Proportional to 41,547 and 90,104

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Solution

The third proportional to 41,547 and 90,104 is: 195,410.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,547 : 90,104 = 90,104 : x
  2. Step 2: Convert to fraction form
    41,547/90,104 = 90,104/x
  3. Step 3: Cross multiply
    41,547x = 90,104 × 90,104
  4. Step 4: Simplify right side
    41,547x = 8,118,730,816
  5. Step 5: Solve for x
    x = 8,118,730,816/41,547
  6. Step 6: Final answer
    x = 195,410.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.