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Finding the Third Proportional to 63,504 and 94,943

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Solution

The third proportional to 63,504 and 94,943 is: 141,946.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,504 : 94,943 = 94,943 : x
  2. Step 2: Convert to fraction form
    63,504/94,943 = 94,943/x
  3. Step 3: Cross multiply
    63,504x = 94,943 × 94,943
  4. Step 4: Simplify right side
    63,504x = 9,014,173,249
  5. Step 5: Solve for x
    x = 9,014,173,249/63,504
  6. Step 6: Final answer
    x = 141,946.54

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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.