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Finding the Third Proportional to 64,752 and 140,900

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Solution

The third proportional to 64,752 and 140,900 is: 306,597.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,752 : 140,900 = 140,900 : x
  2. Step 2: Convert to fraction form
    64,752/140,900 = 140,900/x
  3. Step 3: Cross multiply
    64,752x = 140,900 × 140,900
  4. Step 4: Simplify right side
    64,752x = 19,852,810,000
  5. Step 5: Solve for x
    x = 19,852,810,000/64,752
  6. Step 6: Final answer
    x = 306,597.63

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.