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Finding the Third Proportional to 76,632 and 102,276

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Solution

The third proportional to 76,632 and 102,276 is: 136,501.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,632 : 102,276 = 102,276 : x
  2. Step 2: Convert to fraction form
    76,632/102,276 = 102,276/x
  3. Step 3: Cross multiply
    76,632x = 102,276 × 102,276
  4. Step 4: Simplify right side
    76,632x = 10,460,380,176
  5. Step 5: Solve for x
    x = 10,460,380,176/76,632
  6. Step 6: Final answer
    x = 136,501.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.