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Finding the Third Proportional to 72,823 and 97,813

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Solution

The third proportional to 72,823 and 97,813 is: 131,378.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,823 : 97,813 = 97,813 : x
  2. Step 2: Convert to fraction form
    72,823/97,813 = 97,813/x
  3. Step 3: Cross multiply
    72,823x = 97,813 × 97,813
  4. Step 4: Simplify right side
    72,823x = 9,567,382,969
  5. Step 5: Solve for x
    x = 9,567,382,969/72,823
  6. Step 6: Final answer
    x = 131,378.59

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.