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Finding the Third Proportional to 42,553 and 91,423

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Solution

The third proportional to 42,553 and 91,423 is: 196,417.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,553 : 91,423 = 91,423 : x
  2. Step 2: Convert to fraction form
    42,553/91,423 = 91,423/x
  3. Step 3: Cross multiply
    42,553x = 91,423 × 91,423
  4. Step 4: Simplify right side
    42,553x = 8,358,164,929
  5. Step 5: Solve for x
    x = 8,358,164,929/42,553
  6. Step 6: Final answer
    x = 196,417.76

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.