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Finding the Third Proportional to 42,358 and 92,011

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Solution

The third proportional to 42,358 and 92,011 is: 199,868.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,358 : 92,011 = 92,011 : x
  2. Step 2: Convert to fraction form
    42,358/92,011 = 92,011/x
  3. Step 3: Cross multiply
    42,358x = 92,011 × 92,011
  4. Step 4: Simplify right side
    42,358x = 8,466,024,121
  5. Step 5: Solve for x
    x = 8,466,024,121/42,358
  6. Step 6: Final answer
    x = 199,868.36

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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.