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Finding the Third Proportional to 48,403 and 104,222

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Solution

The third proportional to 48,403 and 104,222 is: 224,412.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,403 : 104,222 = 104,222 : x
  2. Step 2: Convert to fraction form
    48,403/104,222 = 104,222/x
  3. Step 3: Cross multiply
    48,403x = 104,222 × 104,222
  4. Step 4: Simplify right side
    48,403x = 10,862,225,284
  5. Step 5: Solve for x
    x = 10,862,225,284/48,403
  6. Step 6: Final answer
    x = 224,412.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.