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Finding the Third Proportional to 74,143 and 163,046

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Solution

The third proportional to 74,143 and 163,046 is: 358,550.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,143 : 163,046 = 163,046 : x
  2. Step 2: Convert to fraction form
    74,143/163,046 = 163,046/x
  3. Step 3: Cross multiply
    74,143x = 163,046 × 163,046
  4. Step 4: Simplify right side
    74,143x = 26,583,998,116
  5. Step 5: Solve for x
    x = 26,583,998,116/74,143
  6. Step 6: Final answer
    x = 358,550.34

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