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Finding the Third Proportional to 42,113 and 90,061

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Solution

The third proportional to 42,113 and 90,061 is: 192,600.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,113 : 90,061 = 90,061 : x
  2. Step 2: Convert to fraction form
    42,113/90,061 = 90,061/x
  3. Step 3: Cross multiply
    42,113x = 90,061 × 90,061
  4. Step 4: Simplify right side
    42,113x = 8,110,983,721
  5. Step 5: Solve for x
    x = 8,110,983,721/42,113
  6. Step 6: Final answer
    x = 192,600.47

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.