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Finding the Third Proportional to 42,870 and 93,670

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Solution

The third proportional to 42,870 and 93,670 is: 204,666.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,870 : 93,670 = 93,670 : x
  2. Step 2: Convert to fraction form
    42,870/93,670 = 93,670/x
  3. Step 3: Cross multiply
    42,870x = 93,670 × 93,670
  4. Step 4: Simplify right side
    42,870x = 8,774,068,900
  5. Step 5: Solve for x
    x = 8,774,068,900/42,870
  6. Step 6: Final answer
    x = 204,666.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.