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Finding the Third Proportional to 69,513 and 115,053

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Solution

The third proportional to 69,513 and 115,053 is: 190,427.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,513 : 115,053 = 115,053 : x
  2. Step 2: Convert to fraction form
    69,513/115,053 = 115,053/x
  3. Step 3: Cross multiply
    69,513x = 115,053 × 115,053
  4. Step 4: Simplify right side
    69,513x = 13,237,192,809
  5. Step 5: Solve for x
    x = 13,237,192,809/69,513
  6. Step 6: Final answer
    x = 190,427.59

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.