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Finding the Third Proportional to 48,207 and 100,058.25

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Solution

The third proportional to 48,207 and 100,058.25 is: 207,680.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,207 : 100,058.25 = 100,058.25 : x
  2. Step 2: Convert to fraction form
    48,207/100,058.25 = 100,058.25/x
  3. Step 3: Cross multiply
    48,207x = 100,058.25 × 100,058.25
  4. Step 4: Simplify right side
    48,207x = 10,011,653,393.06
  5. Step 5: Solve for x
    x = 10,011,653,393.06/48,207
  6. Step 6: Final answer
    x = 207,680.49

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.