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Finding the Third Proportional to 53,538.75 and 72,117.75

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Solution

The third proportional to 53,538.75 and 72,117.75 is: 97,144.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,538.75 : 72,117.75 = 72,117.75 : x
  2. Step 2: Convert to fraction form
    53,538.75/72,117.75 = 72,117.75/x
  3. Step 3: Cross multiply
    53,538.75x = 72,117.75 × 72,117.75
  4. Step 4: Simplify right side
    53,538.75x = 5,200,969,865.06
  5. Step 5: Solve for x
    x = 5,200,969,865.06/53,538.75
  6. Step 6: Final answer
    x = 97,144.03

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.