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Finding the Third Proportional to 67,478 and 97,186

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Solution

The third proportional to 67,478 and 97,186 is: 139,973.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,478 : 97,186 = 97,186 : x
  2. Step 2: Convert to fraction form
    67,478/97,186 = 97,186/x
  3. Step 3: Cross multiply
    67,478x = 97,186 × 97,186
  4. Step 4: Simplify right side
    67,478x = 9,445,118,596
  5. Step 5: Solve for x
    x = 9,445,118,596/67,478
  6. Step 6: Final answer
    x = 139,973.30

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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.