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Finding the Third Proportional to 51,140.50 and 109,389

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Solution

The third proportional to 51,140.50 and 109,389 is: 233,981.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,140.50 : 109,389 = 109,389 : x
  2. Step 2: Convert to fraction form
    51,140.50/109,389 = 109,389/x
  3. Step 3: Cross multiply
    51,140.50x = 109,389 × 109,389
  4. Step 4: Simplify right side
    51,140.50x = 11,965,953,321
  5. Step 5: Solve for x
    x = 11,965,953,321/51,140.50
  6. Step 6: Final answer
    x = 233,981.94

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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.