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Finding the Third Proportional to 107,246 and 163,175

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Solution

The third proportional to 107,246 and 163,175 is: 248,271.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,246 : 163,175 = 163,175 : x
  2. Step 2: Convert to fraction form
    107,246/163,175 = 163,175/x
  3. Step 3: Cross multiply
    107,246x = 163,175 × 163,175
  4. Step 4: Simplify right side
    107,246x = 26,626,080,625
  5. Step 5: Solve for x
    x = 26,626,080,625/107,246
  6. Step 6: Final answer
    x = 248,271.08

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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.