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Finding the Third Proportional to 42,656 and 63,992

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Solution

The third proportional to 42,656 and 63,992 is: 96,000.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,656 : 63,992 = 63,992 : x
  2. Step 2: Convert to fraction form
    42,656/63,992 = 63,992/x
  3. Step 3: Cross multiply
    42,656x = 63,992 × 63,992
  4. Step 4: Simplify right side
    42,656x = 4,094,976,064
  5. Step 5: Solve for x
    x = 4,094,976,064/42,656
  6. Step 6: Final answer
    x = 96,000.00

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.