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Finding the Third Proportional to 97,042 and 205,748

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Solution

The third proportional to 97,042 and 205,748 is: 436,225.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,042 : 205,748 = 205,748 : x
  2. Step 2: Convert to fraction form
    97,042/205,748 = 205,748/x
  3. Step 3: Cross multiply
    97,042x = 205,748 × 205,748
  4. Step 4: Simplify right side
    97,042x = 42,332,239,504
  5. Step 5: Solve for x
    x = 42,332,239,504/97,042
  6. Step 6: Final answer
    x = 436,225.96

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.