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Finding the Third Proportional to 65,081 and 97,365

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Solution

The third proportional to 65,081 and 97,365 is: 145,663.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,081 : 97,365 = 97,365 : x
  2. Step 2: Convert to fraction form
    65,081/97,365 = 97,365/x
  3. Step 3: Cross multiply
    65,081x = 97,365 × 97,365
  4. Step 4: Simplify right side
    65,081x = 9,479,943,225
  5. Step 5: Solve for x
    x = 9,479,943,225/65,081
  6. Step 6: Final answer
    x = 145,663.76

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Why These Related Problems?

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