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Finding the Third Proportional to 48,733 and 106,773

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Solution

The third proportional to 48,733 and 106,773 is: 233,937.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,733 : 106,773 = 106,773 : x
  2. Step 2: Convert to fraction form
    48,733/106,773 = 106,773/x
  3. Step 3: Cross multiply
    48,733x = 106,773 × 106,773
  4. Step 4: Simplify right side
    48,733x = 11,400,473,529
  5. Step 5: Solve for x
    x = 11,400,473,529/48,733
  6. Step 6: Final answer
    x = 233,937.45

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.