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Finding the Third Proportional to 52,984.69 and 74,257.31

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Solution

The third proportional to 52,984.69 and 74,257.31 is: 104,070.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,984.69 : 74,257.31 = 74,257.31 : x
  2. Step 2: Convert to fraction form
    52,984.69/74,257.31 = 74,257.31/x
  3. Step 3: Cross multiply
    52,984.69x = 74,257.31 × 74,257.31
  4. Step 4: Simplify right side
    52,984.69x = 5,514,148,459.72
  5. Step 5: Solve for x
    x = 5,514,148,459.72/52,984.69
  6. Step 6: Final answer
    x = 104,070.60

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.