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Finding the Third Proportional to 67,186.88 and 97,121.63

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Solution

The third proportional to 67,186.88 and 97,121.63 is: 140,393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,186.88 : 97,121.63 = 97,121.63 : x
  2. Step 2: Convert to fraction form
    67,186.88/97,121.63 = 97,121.63/x
  3. Step 3: Cross multiply
    67,186.88x = 97,121.63 × 97,121.63
  4. Step 4: Simplify right side
    67,186.88x = 9,432,610,042.64
  5. Step 5: Solve for x
    x = 9,432,610,042.64/67,186.88
  6. Step 6: Final answer
    x = 140,393.64

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.