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Finding the Third Proportional to 65,173 and 97,471

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Solution

The third proportional to 65,173 and 97,471 is: 145,775.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,173 : 97,471 = 97,471 : x
  2. Step 2: Convert to fraction form
    65,173/97,471 = 97,471/x
  3. Step 3: Cross multiply
    65,173x = 97,471 × 97,471
  4. Step 4: Simplify right side
    65,173x = 9,500,595,841
  5. Step 5: Solve for x
    x = 9,500,595,841/65,173
  6. Step 6: Final answer
    x = 145,775.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.