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Finding the Third Proportional to 48,726 and 106,564.50

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Solution

The third proportional to 48,726 and 106,564.50 is: 233,058.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,726 : 106,564.50 = 106,564.50 : x
  2. Step 2: Convert to fraction form
    48,726/106,564.50 = 106,564.50/x
  3. Step 3: Cross multiply
    48,726x = 106,564.50 × 106,564.50
  4. Step 4: Simplify right side
    48,726x = 11,355,992,660.25
  5. Step 5: Solve for x
    x = 11,355,992,660.25/48,726
  6. Step 6: Final answer
    x = 233,058.18

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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.