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Finding the Third Proportional to 64,658 and 97,035

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Solution

The third proportional to 64,658 and 97,035 is: 145,624.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,658 : 97,035 = 97,035 : x
  2. Step 2: Convert to fraction form
    64,658/97,035 = 97,035/x
  3. Step 3: Cross multiply
    64,658x = 97,035 × 97,035
  4. Step 4: Simplify right side
    64,658x = 9,415,791,225
  5. Step 5: Solve for x
    x = 9,415,791,225/64,658
  6. Step 6: Final answer
    x = 145,624.54

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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.