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Finding the Third Proportional to 74,166 and 163,461

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Solution

The third proportional to 74,166 and 163,461 is: 360,266.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,166 : 163,461 = 163,461 : x
  2. Step 2: Convert to fraction form
    74,166/163,461 = 163,461/x
  3. Step 3: Cross multiply
    74,166x = 163,461 × 163,461
  4. Step 4: Simplify right side
    74,166x = 26,719,498,521
  5. Step 5: Solve for x
    x = 26,719,498,521/74,166
  6. Step 6: Final answer
    x = 360,266.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.