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Finding the Third Proportional to 97,416 and 130,266

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Solution

The third proportional to 97,416 and 130,266 is: 174,193.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,416 : 130,266 = 130,266 : x
  2. Step 2: Convert to fraction form
    97,416/130,266 = 130,266/x
  3. Step 3: Cross multiply
    97,416x = 130,266 × 130,266
  4. Step 4: Simplify right side
    97,416x = 16,969,230,756
  5. Step 5: Solve for x
    x = 16,969,230,756/97,416
  6. Step 6: Final answer
    x = 174,193.47

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.