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Finding the Third Proportional to 74,712 and 162,048

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Solution

The third proportional to 74,712 and 162,048 is: 351,477.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,712 : 162,048 = 162,048 : x
  2. Step 2: Convert to fraction form
    74,712/162,048 = 162,048/x
  3. Step 3: Cross multiply
    74,712x = 162,048 × 162,048
  4. Step 4: Simplify right side
    74,712x = 26,259,554,304
  5. Step 5: Solve for x
    x = 26,259,554,304/74,712
  6. Step 6: Final answer
    x = 351,477.06

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Why These Related Problems?

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