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Finding the Third Proportional to 53,108 and 115,582

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Solution

The third proportional to 53,108 and 115,582 is: 251,547.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,108 : 115,582 = 115,582 : x
  2. Step 2: Convert to fraction form
    53,108/115,582 = 115,582/x
  3. Step 3: Cross multiply
    53,108x = 115,582 × 115,582
  4. Step 4: Simplify right side
    53,108x = 13,359,198,724
  5. Step 5: Solve for x
    x = 13,359,198,724/53,108
  6. Step 6: Final answer
    x = 251,547.77

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.