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Finding the Third Proportional to 53,065 and 114,418

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Solution

The third proportional to 53,065 and 114,418 is: 246,706.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,065 : 114,418 = 114,418 : x
  2. Step 2: Convert to fraction form
    53,065/114,418 = 114,418/x
  3. Step 3: Cross multiply
    53,065x = 114,418 × 114,418
  4. Step 4: Simplify right side
    53,065x = 13,091,478,724
  5. Step 5: Solve for x
    x = 13,091,478,724/53,065
  6. Step 6: Final answer
    x = 246,706.47

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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.