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Finding the Third Proportional to 48,206 and 72,053

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Solution

The third proportional to 48,206 and 72,053 is: 107,696.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,206 : 72,053 = 72,053 : x
  2. Step 2: Convert to fraction form
    48,206/72,053 = 72,053/x
  3. Step 3: Cross multiply
    48,206x = 72,053 × 72,053
  4. Step 4: Simplify right side
    48,206x = 5,191,634,809
  5. Step 5: Solve for x
    x = 5,191,634,809/48,206
  6. Step 6: Final answer
    x = 107,696.86

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.