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Finding the Third Proportional to 42,889 and 94,504

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Solution

The third proportional to 42,889 and 94,504 is: 208,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,889 : 94,504 = 94,504 : x
  2. Step 2: Convert to fraction form
    42,889/94,504 = 94,504/x
  3. Step 3: Cross multiply
    42,889x = 94,504 × 94,504
  4. Step 4: Simplify right side
    42,889x = 8,931,006,016
  5. Step 5: Solve for x
    x = 8,931,006,016/42,889
  6. Step 6: Final answer
    x = 208,235.35

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.