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Finding the Third Proportional to 52,374 and 113,048

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Solution

The third proportional to 52,374 and 113,048 is: 244,011.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,374 : 113,048 = 113,048 : x
  2. Step 2: Convert to fraction form
    52,374/113,048 = 113,048/x
  3. Step 3: Cross multiply
    52,374x = 113,048 × 113,048
  4. Step 4: Simplify right side
    52,374x = 12,779,850,304
  5. Step 5: Solve for x
    x = 12,779,850,304/52,374
  6. Step 6: Final answer
    x = 244,011.35

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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.