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Finding the Third Proportional to 63,206 and 94,970

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Solution

The third proportional to 63,206 and 94,970 is: 142,696.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,206 : 94,970 = 94,970 : x
  2. Step 2: Convert to fraction form
    63,206/94,970 = 94,970/x
  3. Step 3: Cross multiply
    63,206x = 94,970 × 94,970
  4. Step 4: Simplify right side
    63,206x = 9,019,300,900
  5. Step 5: Solve for x
    x = 9,019,300,900/63,206
  6. Step 6: Final answer
    x = 142,696.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.