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Finding the Third Proportional to 45,087.50 and 96,429

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Solution

The third proportional to 45,087.50 and 96,429 is: 206,233.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,087.50 : 96,429 = 96,429 : x
  2. Step 2: Convert to fraction form
    45,087.50/96,429 = 96,429/x
  3. Step 3: Cross multiply
    45,087.50x = 96,429 × 96,429
  4. Step 4: Simplify right side
    45,087.50x = 9,298,552,041
  5. Step 5: Solve for x
    x = 9,298,552,041/45,087.50
  6. Step 6: Final answer
    x = 206,233.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.