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Finding the Third Proportional to 65,752 and 107,355

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Solution

The third proportional to 65,752 and 107,355 is: 175,281.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,752 : 107,355 = 107,355 : x
  2. Step 2: Convert to fraction form
    65,752/107,355 = 107,355/x
  3. Step 3: Cross multiply
    65,752x = 107,355 × 107,355
  4. Step 4: Simplify right side
    65,752x = 11,525,096,025
  5. Step 5: Solve for x
    x = 11,525,096,025/65,752
  6. Step 6: Final answer
    x = 175,281.30

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.