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Finding the Third Proportional to 42,056 and 90,490

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Solution

The third proportional to 42,056 and 90,490 is: 194,703.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,056 : 90,490 = 90,490 : x
  2. Step 2: Convert to fraction form
    42,056/90,490 = 90,490/x
  3. Step 3: Cross multiply
    42,056x = 90,490 × 90,490
  4. Step 4: Simplify right side
    42,056x = 8,188,440,100
  5. Step 5: Solve for x
    x = 8,188,440,100/42,056
  6. Step 6: Final answer
    x = 194,703.26

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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.