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Finding the Third Proportional to 52,334 and 114,620.50

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Solution

The third proportional to 52,334 and 114,620.50 is: 251,038.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,334 : 114,620.50 = 114,620.50 : x
  2. Step 2: Convert to fraction form
    52,334/114,620.50 = 114,620.50/x
  3. Step 3: Cross multiply
    52,334x = 114,620.50 × 114,620.50
  4. Step 4: Simplify right side
    52,334x = 13,137,859,020.25
  5. Step 5: Solve for x
    x = 13,137,859,020.25/52,334
  6. Step 6: Final answer
    x = 251,038.69

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.