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Finding the Third Proportional to 42,392 and 93,106

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Solution

The third proportional to 42,392 and 93,106 is: 204,489.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,392 : 93,106 = 93,106 : x
  2. Step 2: Convert to fraction form
    42,392/93,106 = 93,106/x
  3. Step 3: Cross multiply
    42,392x = 93,106 × 93,106
  4. Step 4: Simplify right side
    42,392x = 8,668,727,236
  5. Step 5: Solve for x
    x = 8,668,727,236/42,392
  6. Step 6: Final answer
    x = 204,489.70

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.