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Finding the Third Proportional to 94,020 and 195,816

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Solution

The third proportional to 94,020 and 195,816 is: 407,827.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,020 : 195,816 = 195,816 : x
  2. Step 2: Convert to fraction form
    94,020/195,816 = 195,816/x
  3. Step 3: Cross multiply
    94,020x = 195,816 × 195,816
  4. Step 4: Simplify right side
    94,020x = 38,343,905,856
  5. Step 5: Solve for x
    x = 38,343,905,856/94,020
  6. Step 6: Final answer
    x = 407,827.12

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.