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Finding the Third Proportional to 112,052.50 and 242,774

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Solution

The third proportional to 112,052.50 and 242,774 is: 525,996.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,052.50 : 242,774 = 242,774 : x
  2. Step 2: Convert to fraction form
    112,052.50/242,774 = 242,774/x
  3. Step 3: Cross multiply
    112,052.50x = 242,774 × 242,774
  4. Step 4: Simplify right side
    112,052.50x = 58,939,215,076
  5. Step 5: Solve for x
    x = 58,939,215,076/112,052.50
  6. Step 6: Final answer
    x = 525,996.43

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.