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Finding the Third Proportional to 52,004 and 113,880

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Solution

The third proportional to 52,004 and 113,880 is: 249,378.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,004 : 113,880 = 113,880 : x
  2. Step 2: Convert to fraction form
    52,004/113,880 = 113,880/x
  3. Step 3: Cross multiply
    52,004x = 113,880 × 113,880
  4. Step 4: Simplify right side
    52,004x = 12,968,654,400
  5. Step 5: Solve for x
    x = 12,968,654,400/52,004
  6. Step 6: Final answer
    x = 249,378.02

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.