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Finding the Third Proportional to 75,266 and 163,490

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Solution

The third proportional to 75,266 and 163,490 is: 355,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,266 : 163,490 = 163,490 : x
  2. Step 2: Convert to fraction form
    75,266/163,490 = 163,490/x
  3. Step 3: Cross multiply
    75,266x = 163,490 × 163,490
  4. Step 4: Simplify right side
    75,266x = 26,728,980,100
  5. Step 5: Solve for x
    x = 26,728,980,100/75,266
  6. Step 6: Final answer
    x = 355,126.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.