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Finding the Third Proportional to 42,368 and 90,552

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Solution

The third proportional to 42,368 and 90,552 is: 193,534.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,368 : 90,552 = 90,552 : x
  2. Step 2: Convert to fraction form
    42,368/90,552 = 90,552/x
  3. Step 3: Cross multiply
    42,368x = 90,552 × 90,552
  4. Step 4: Simplify right side
    42,368x = 8,199,664,704
  5. Step 5: Solve for x
    x = 8,199,664,704/42,368
  6. Step 6: Final answer
    x = 193,534.38

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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.