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Finding the Third Proportional to 52,818 and 114,780

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Solution

The third proportional to 52,818 and 114,780 is: 249,431.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,818 : 114,780 = 114,780 : x
  2. Step 2: Convert to fraction form
    52,818/114,780 = 114,780/x
  3. Step 3: Cross multiply
    52,818x = 114,780 × 114,780
  4. Step 4: Simplify right side
    52,818x = 13,174,448,400
  5. Step 5: Solve for x
    x = 13,174,448,400/52,818
  6. Step 6: Final answer
    x = 249,431.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.