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Finding the Third Proportional to 53,770 and 80,358

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Solution

The third proportional to 53,770 and 80,358 is: 120,093.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,770 : 80,358 = 80,358 : x
  2. Step 2: Convert to fraction form
    53,770/80,358 = 80,358/x
  3. Step 3: Cross multiply
    53,770x = 80,358 × 80,358
  4. Step 4: Simplify right side
    53,770x = 6,457,408,164
  5. Step 5: Solve for x
    x = 6,457,408,164/53,770
  6. Step 6: Final answer
    x = 120,093.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.