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Finding the Third Proportional to 93,827.50 and 191,475

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Solution

The third proportional to 93,827.50 and 191,475 is: 390,745.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,827.50 : 191,475 = 191,475 : x
  2. Step 2: Convert to fraction form
    93,827.50/191,475 = 191,475/x
  3. Step 3: Cross multiply
    93,827.50x = 191,475 × 191,475
  4. Step 4: Simplify right side
    93,827.50x = 36,662,675,625
  5. Step 5: Solve for x
    x = 36,662,675,625/93,827.50
  6. Step 6: Final answer
    x = 390,745.52

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.