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Finding the Third Proportional to 72,911.25 and 97,985.25

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Solution

The third proportional to 72,911.25 and 97,985.25 is: 131,682.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,911.25 : 97,985.25 = 97,985.25 : x
  2. Step 2: Convert to fraction form
    72,911.25/97,985.25 = 97,985.25/x
  3. Step 3: Cross multiply
    72,911.25x = 97,985.25 × 97,985.25
  4. Step 4: Simplify right side
    72,911.25x = 9,601,109,217.56
  5. Step 5: Solve for x
    x = 9,601,109,217.56/72,911.25
  6. Step 6: Final answer
    x = 131,682.14

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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.