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Finding the Third Proportional to 53,083 and 115,022

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Solution

The third proportional to 53,083 and 115,022 is: 249,233.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,083 : 115,022 = 115,022 : x
  2. Step 2: Convert to fraction form
    53,083/115,022 = 115,022/x
  3. Step 3: Cross multiply
    53,083x = 115,022 × 115,022
  4. Step 4: Simplify right side
    53,083x = 13,230,060,484
  5. Step 5: Solve for x
    x = 13,230,060,484/53,083
  6. Step 6: Final answer
    x = 249,233.47

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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.