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Finding the Third Proportional to 74,064 and 162,952

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Solution

The third proportional to 74,064 and 162,952 is: 358,519.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,064 : 162,952 = 162,952 : x
  2. Step 2: Convert to fraction form
    74,064/162,952 = 162,952/x
  3. Step 3: Cross multiply
    74,064x = 162,952 × 162,952
  4. Step 4: Simplify right side
    74,064x = 26,553,354,304
  5. Step 5: Solve for x
    x = 26,553,354,304/74,064
  6. Step 6: Final answer
    x = 358,519.04

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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.