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Finding the Third Proportional to 107,924 and 163,830

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Solution

The third proportional to 107,924 and 163,830 is: 248,696.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,924 : 163,830 = 163,830 : x
  2. Step 2: Convert to fraction form
    107,924/163,830 = 163,830/x
  3. Step 3: Cross multiply
    107,924x = 163,830 × 163,830
  4. Step 4: Simplify right side
    107,924x = 26,840,268,900
  5. Step 5: Solve for x
    x = 26,840,268,900/107,924
  6. Step 6: Final answer
    x = 248,696.02

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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.