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Finding the Third Proportional to 53,752 and 114,633

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Solution

The third proportional to 53,752 and 114,633 is: 244,469.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,752 : 114,633 = 114,633 : x
  2. Step 2: Convert to fraction form
    53,752/114,633 = 114,633/x
  3. Step 3: Cross multiply
    53,752x = 114,633 × 114,633
  4. Step 4: Simplify right side
    53,752x = 13,140,724,689
  5. Step 5: Solve for x
    x = 13,140,724,689/53,752
  6. Step 6: Final answer
    x = 244,469.50

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.