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Finding the Third Proportional to 45,240 and 96,492

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Solution

The third proportional to 45,240 and 96,492 is: 205,806.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,240 : 96,492 = 96,492 : x
  2. Step 2: Convert to fraction form
    45,240/96,492 = 96,492/x
  3. Step 3: Cross multiply
    45,240x = 96,492 × 96,492
  4. Step 4: Simplify right side
    45,240x = 9,310,706,064
  5. Step 5: Solve for x
    x = 9,310,706,064/45,240
  6. Step 6: Final answer
    x = 205,806.94

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.