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Finding the Third Proportional to 97,398 and 130,059

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Solution

The third proportional to 97,398 and 130,059 is: 173,672.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,398 : 130,059 = 130,059 : x
  2. Step 2: Convert to fraction form
    97,398/130,059 = 130,059/x
  3. Step 3: Cross multiply
    97,398x = 130,059 × 130,059
  4. Step 4: Simplify right side
    97,398x = 16,915,343,481
  5. Step 5: Solve for x
    x = 16,915,343,481/97,398
  6. Step 6: Final answer
    x = 173,672.39

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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.