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Finding the Third Proportional to 53,130 and 79,593

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Solution

The third proportional to 53,130 and 79,593 is: 119,236.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,130 : 79,593 = 79,593 : x
  2. Step 2: Convert to fraction form
    53,130/79,593 = 79,593/x
  3. Step 3: Cross multiply
    53,130x = 79,593 × 79,593
  4. Step 4: Simplify right side
    53,130x = 6,335,045,649
  5. Step 5: Solve for x
    x = 6,335,045,649/53,130
  6. Step 6: Final answer
    x = 119,236.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.