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Finding the Third Proportional to 50,752 and 108,985

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Solution

The third proportional to 50,752 and 108,985 is: 234,034.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,752 : 108,985 = 108,985 : x
  2. Step 2: Convert to fraction form
    50,752/108,985 = 108,985/x
  3. Step 3: Cross multiply
    50,752x = 108,985 × 108,985
  4. Step 4: Simplify right side
    50,752x = 11,877,730,225
  5. Step 5: Solve for x
    x = 11,877,730,225/50,752
  6. Step 6: Final answer
    x = 234,034.72

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.