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Finding the Third Proportional to 48,420 and 104,490

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Solution

The third proportional to 48,420 and 104,490 is: 225,488.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,420 : 104,490 = 104,490 : x
  2. Step 2: Convert to fraction form
    48,420/104,490 = 104,490/x
  3. Step 3: Cross multiply
    48,420x = 104,490 × 104,490
  4. Step 4: Simplify right side
    48,420x = 10,918,160,100
  5. Step 5: Solve for x
    x = 10,918,160,100/48,420
  6. Step 6: Final answer
    x = 225,488.64

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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.