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Finding the Third Proportional to 52,700.50 and 113,813

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Solution

The third proportional to 52,700.50 and 113,813 is: 245,792.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,700.50 : 113,813 = 113,813 : x
  2. Step 2: Convert to fraction form
    52,700.50/113,813 = 113,813/x
  3. Step 3: Cross multiply
    52,700.50x = 113,813 × 113,813
  4. Step 4: Simplify right side
    52,700.50x = 12,953,398,969
  5. Step 5: Solve for x
    x = 12,953,398,969/52,700.50
  6. Step 6: Final answer
    x = 245,792.71

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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.