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Finding the Third Proportional to 83,235 and 127,632

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Solution

The third proportional to 83,235 and 127,632 is: 195,710.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,235 : 127,632 = 127,632 : x
  2. Step 2: Convert to fraction form
    83,235/127,632 = 127,632/x
  3. Step 3: Cross multiply
    83,235x = 127,632 × 127,632
  4. Step 4: Simplify right side
    83,235x = 16,289,927,424
  5. Step 5: Solve for x
    x = 16,289,927,424/83,235
  6. Step 6: Final answer
    x = 195,710.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.