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Finding the Third Proportional to 53,328 and 76,210

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Solution

The third proportional to 53,328 and 76,210 is: 108,910.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,328 : 76,210 = 76,210 : x
  2. Step 2: Convert to fraction form
    53,328/76,210 = 76,210/x
  3. Step 3: Cross multiply
    53,328x = 76,210 × 76,210
  4. Step 4: Simplify right side
    53,328x = 5,807,964,100
  5. Step 5: Solve for x
    x = 5,807,964,100/53,328
  6. Step 6: Final answer
    x = 108,910.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.