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Finding the Third Proportional to 53,416.13 and 79,300.69

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Solution

The third proportional to 53,416.13 and 79,300.69 is: 117,728.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,416.13 : 79,300.69 = 79,300.69 : x
  2. Step 2: Convert to fraction form
    53,416.13/79,300.69 = 79,300.69/x
  3. Step 3: Cross multiply
    53,416.13x = 79,300.69 × 79,300.69
  4. Step 4: Simplify right side
    53,416.13x = 6,288,599,037.97
  5. Step 5: Solve for x
    x = 6,288,599,037.97/53,416.13
  6. Step 6: Final answer
    x = 117,728.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.