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Finding the Third Proportional to 65,015 and 97,259

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Solution

The third proportional to 65,015 and 97,259 is: 145,494.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,015 : 97,259 = 97,259 : x
  2. Step 2: Convert to fraction form
    65,015/97,259 = 97,259/x
  3. Step 3: Cross multiply
    65,015x = 97,259 × 97,259
  4. Step 4: Simplify right side
    65,015x = 9,459,313,081
  5. Step 5: Solve for x
    x = 9,459,313,081/65,015
  6. Step 6: Final answer
    x = 145,494.32

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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.