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Finding the Third Proportional to 52,036.13 and 113,702.81

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Solution

The third proportional to 52,036.13 and 113,702.81 is: 248,449.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,036.13 : 113,702.81 = 113,702.81 : x
  2. Step 2: Convert to fraction form
    52,036.13/113,702.81 = 113,702.81/x
  3. Step 3: Cross multiply
    52,036.13x = 113,702.81 × 113,702.81
  4. Step 4: Simplify right side
    52,036.13x = 12,928,329,570.41
  5. Step 5: Solve for x
    x = 12,928,329,570.41/52,036.13
  6. Step 6: Final answer
    x = 248,449.12

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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.