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Finding the Third Proportional to 48,430 and 104,510

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Solution

The third proportional to 48,430 and 104,510 is: 225,528.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,430 : 104,510 = 104,510 : x
  2. Step 2: Convert to fraction form
    48,430/104,510 = 104,510/x
  3. Step 3: Cross multiply
    48,430x = 104,510 × 104,510
  4. Step 4: Simplify right side
    48,430x = 10,922,340,100
  5. Step 5: Solve for x
    x = 10,922,340,100/48,430
  6. Step 6: Final answer
    x = 225,528.39

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.