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Finding the Third Proportional to 45,370 and 96,248

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Solution

The third proportional to 45,370 and 96,248 is: 204,180.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,370 : 96,248 = 96,248 : x
  2. Step 2: Convert to fraction form
    45,370/96,248 = 96,248/x
  3. Step 3: Cross multiply
    45,370x = 96,248 × 96,248
  4. Step 4: Simplify right side
    45,370x = 9,263,677,504
  5. Step 5: Solve for x
    x = 9,263,677,504/45,370
  6. Step 6: Final answer
    x = 204,180.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.