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Finding the Third Proportional to 61,952 and 96,064

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Solution

The third proportional to 61,952 and 96,064 is: 148,958.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,952 : 96,064 = 96,064 : x
  2. Step 2: Convert to fraction form
    61,952/96,064 = 96,064/x
  3. Step 3: Cross multiply
    61,952x = 96,064 × 96,064
  4. Step 4: Simplify right side
    61,952x = 9,228,292,096
  5. Step 5: Solve for x
    x = 9,228,292,096/61,952
  6. Step 6: Final answer
    x = 148,958.74

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.