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Finding the Third Proportional to 42,104 and 90,776

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Solution

The third proportional to 42,104 and 90,776 is: 195,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,104 : 90,776 = 90,776 : x
  2. Step 2: Convert to fraction form
    42,104/90,776 = 90,776/x
  3. Step 3: Cross multiply
    42,104x = 90,776 × 90,776
  4. Step 4: Simplify right side
    42,104x = 8,240,282,176
  5. Step 5: Solve for x
    x = 8,240,282,176/42,104
  6. Step 6: Final answer
    x = 195,712.57

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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.