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Finding the Third Proportional to 79,356 and 107,653.50

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Solution

The third proportional to 79,356 and 107,653.50 is: 146,041.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,356 : 107,653.50 = 107,653.50 : x
  2. Step 2: Convert to fraction form
    79,356/107,653.50 = 107,653.50/x
  3. Step 3: Cross multiply
    79,356x = 107,653.50 × 107,653.50
  4. Step 4: Simplify right side
    79,356x = 11,589,276,062.25
  5. Step 5: Solve for x
    x = 11,589,276,062.25/79,356
  6. Step 6: Final answer
    x = 146,041.59

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.