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Finding the Third Proportional to 110,052 and 235,752

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Solution

The third proportional to 110,052 and 235,752 is: 505,024.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,052 : 235,752 = 235,752 : x
  2. Step 2: Convert to fraction form
    110,052/235,752 = 235,752/x
  3. Step 3: Cross multiply
    110,052x = 235,752 × 235,752
  4. Step 4: Simplify right side
    110,052x = 55,579,005,504
  5. Step 5: Solve for x
    x = 55,579,005,504/110,052
  6. Step 6: Final answer
    x = 505,024.95

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.