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Finding the Third Proportional to 45,025.50 and 97,979

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Solution

The third proportional to 45,025.50 and 97,979 is: 213,209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,025.50 : 97,979 = 97,979 : x
  2. Step 2: Convert to fraction form
    45,025.50/97,979 = 97,979/x
  3. Step 3: Cross multiply
    45,025.50x = 97,979 × 97,979
  4. Step 4: Simplify right side
    45,025.50x = 9,599,884,441
  5. Step 5: Solve for x
    x = 9,599,884,441/45,025.50
  6. Step 6: Final answer
    x = 213,209.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.