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Finding the Third Proportional to 67,464 and 97,176

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Solution

The third proportional to 67,464 and 97,176 is: 139,973.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,464 : 97,176 = 97,176 : x
  2. Step 2: Convert to fraction form
    67,464/97,176 = 97,176/x
  3. Step 3: Cross multiply
    67,464x = 97,176 × 97,176
  4. Step 4: Simplify right side
    67,464x = 9,443,174,976
  5. Step 5: Solve for x
    x = 9,443,174,976/67,464
  6. Step 6: Final answer
    x = 139,973.54

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.