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Finding the Third Proportional to 42,900 and 93,186

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Solution

The third proportional to 42,900 and 93,186 is: 202,415.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,900 : 93,186 = 93,186 : x
  2. Step 2: Convert to fraction form
    42,900/93,186 = 93,186/x
  3. Step 3: Cross multiply
    42,900x = 93,186 × 93,186
  4. Step 4: Simplify right side
    42,900x = 8,683,630,596
  5. Step 5: Solve for x
    x = 8,683,630,596/42,900
  6. Step 6: Final answer
    x = 202,415.63

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.