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Finding the Third Proportional to 52,297.03 and 114,314.06

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Solution

The third proportional to 52,297.03 and 114,314.06 is: 249,874.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,297.03 : 114,314.06 = 114,314.06 : x
  2. Step 2: Convert to fraction form
    52,297.03/114,314.06 = 114,314.06/x
  3. Step 3: Cross multiply
    52,297.03x = 114,314.06 × 114,314.06
  4. Step 4: Simplify right side
    52,297.03x = 13,067,704,885.25
  5. Step 5: Solve for x
    x = 13,067,704,885.25/52,297.03
  6. Step 6: Final answer
    x = 249,874.70

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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.