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Finding the Third Proportional to 114,712 and 173,796

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Solution

The third proportional to 114,712 and 173,796 is: 263,312.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,712 : 173,796 = 173,796 : x
  2. Step 2: Convert to fraction form
    114,712/173,796 = 173,796/x
  3. Step 3: Cross multiply
    114,712x = 173,796 × 173,796
  4. Step 4: Simplify right side
    114,712x = 30,205,049,616
  5. Step 5: Solve for x
    x = 30,205,049,616/114,712
  6. Step 6: Final answer
    x = 263,312.03

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.