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Finding the Third Proportional to 52,303 and 113,030

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Solution

The third proportional to 52,303 and 113,030 is: 244,264.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,303 : 113,030 = 113,030 : x
  2. Step 2: Convert to fraction form
    52,303/113,030 = 113,030/x
  3. Step 3: Cross multiply
    52,303x = 113,030 × 113,030
  4. Step 4: Simplify right side
    52,303x = 12,775,780,900
  5. Step 5: Solve for x
    x = 12,775,780,900/52,303
  6. Step 6: Final answer
    x = 244,264.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.