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Finding the Third Proportional to 52,406 and 113,110.50

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Solution

The third proportional to 52,406 and 113,110.50 is: 244,132.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,406 : 113,110.50 = 113,110.50 : x
  2. Step 2: Convert to fraction form
    52,406/113,110.50 = 113,110.50/x
  3. Step 3: Cross multiply
    52,406x = 113,110.50 × 113,110.50
  4. Step 4: Simplify right side
    52,406x = 12,793,985,210.25
  5. Step 5: Solve for x
    x = 12,793,985,210.25/52,406
  6. Step 6: Final answer
    x = 244,132.07

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.