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Finding the Third Proportional to 77,048 and 159,264

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Solution

The third proportional to 77,048 and 159,264 is: 329,210.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,048 : 159,264 = 159,264 : x
  2. Step 2: Convert to fraction form
    77,048/159,264 = 159,264/x
  3. Step 3: Cross multiply
    77,048x = 159,264 × 159,264
  4. Step 4: Simplify right side
    77,048x = 25,365,021,696
  5. Step 5: Solve for x
    x = 25,365,021,696/77,048
  6. Step 6: Final answer
    x = 329,210.64

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.