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Finding the Third Proportional to 53,071.50 and 78,392.25

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Solution

The third proportional to 53,071.50 and 78,392.25 is: 115,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,071.50 : 78,392.25 = 78,392.25 : x
  2. Step 2: Convert to fraction form
    53,071.50/78,392.25 = 78,392.25/x
  3. Step 3: Cross multiply
    53,071.50x = 78,392.25 × 78,392.25
  4. Step 4: Simplify right side
    53,071.50x = 6,145,344,860.06
  5. Step 5: Solve for x
    x = 6,145,344,860.06/53,071.50
  6. Step 6: Final answer
    x = 115,793.69

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