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Finding the Third Proportional to 74,160 and 163,062

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Solution

The third proportional to 74,160 and 163,062 is: 358,538.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,160 : 163,062 = 163,062 : x
  2. Step 2: Convert to fraction form
    74,160/163,062 = 163,062/x
  3. Step 3: Cross multiply
    74,160x = 163,062 × 163,062
  4. Step 4: Simplify right side
    74,160x = 26,589,215,844
  5. Step 5: Solve for x
    x = 26,589,215,844/74,160
  6. Step 6: Final answer
    x = 358,538.51

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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.