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Finding the Third Proportional to 74,280 and 109,779

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Solution

The third proportional to 74,280 and 109,779 is: 162,243.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,280 : 109,779 = 109,779 : x
  2. Step 2: Convert to fraction form
    74,280/109,779 = 109,779/x
  3. Step 3: Cross multiply
    74,280x = 109,779 × 109,779
  4. Step 4: Simplify right side
    74,280x = 12,051,428,841
  5. Step 5: Solve for x
    x = 12,051,428,841/74,280
  6. Step 6: Final answer
    x = 162,243.25

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.