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Finding the Third Proportional to 72,655.88 and 97,638.75

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Solution

The third proportional to 72,655.88 and 97,638.75 is: 131,212.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,655.88 : 97,638.75 = 97,638.75 : x
  2. Step 2: Convert to fraction form
    72,655.88/97,638.75 = 97,638.75/x
  3. Step 3: Cross multiply
    72,655.88x = 97,638.75 × 97,638.75
  4. Step 4: Simplify right side
    72,655.88x = 9,533,325,501.56
  5. Step 5: Solve for x
    x = 9,533,325,501.56/72,655.88
  6. Step 6: Final answer
    x = 131,212.04

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