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Finding the Third Proportional to 53,824 and 75,246

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Solution

The third proportional to 53,824 and 75,246 is: 105,193.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,824 : 75,246 = 75,246 : x
  2. Step 2: Convert to fraction form
    53,824/75,246 = 75,246/x
  3. Step 3: Cross multiply
    53,824x = 75,246 × 75,246
  4. Step 4: Simplify right side
    53,824x = 5,661,960,516
  5. Step 5: Solve for x
    x = 5,661,960,516/53,824
  6. Step 6: Final answer
    x = 105,193.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.