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Finding the Third Proportional to 42,989 and 94,696

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Solution

The third proportional to 42,989 and 94,696 is: 208,595.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,989 : 94,696 = 94,696 : x
  2. Step 2: Convert to fraction form
    42,989/94,696 = 94,696/x
  3. Step 3: Cross multiply
    42,989x = 94,696 × 94,696
  4. Step 4: Simplify right side
    42,989x = 8,967,332,416
  5. Step 5: Solve for x
    x = 8,967,332,416/42,989
  6. Step 6: Final answer
    x = 208,595.98

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Why These Related Problems?

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