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Finding the Third Proportional to 121,144 and 282,970

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Solution

The third proportional to 121,144 and 282,970 is: 660,965.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,144 : 282,970 = 282,970 : x
  2. Step 2: Convert to fraction form
    121,144/282,970 = 282,970/x
  3. Step 3: Cross multiply
    121,144x = 282,970 × 282,970
  4. Step 4: Simplify right side
    121,144x = 80,072,020,900
  5. Step 5: Solve for x
    x = 80,072,020,900/121,144
  6. Step 6: Final answer
    x = 660,965.64

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.