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Finding the Third Proportional to 53,330 and 76,213

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Solution

The third proportional to 53,330 and 76,213 is: 108,914.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,330 : 76,213 = 76,213 : x
  2. Step 2: Convert to fraction form
    53,330/76,213 = 76,213/x
  3. Step 3: Cross multiply
    53,330x = 76,213 × 76,213
  4. Step 4: Simplify right side
    53,330x = 5,808,421,369
  5. Step 5: Solve for x
    x = 5,808,421,369/53,330
  6. Step 6: Final answer
    x = 108,914.71

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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.