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Finding the Third Proportional to 53,265 and 80,869.50

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Solution

The third proportional to 53,265 and 80,869.50 is: 122,779.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,265 : 80,869.50 = 80,869.50 : x
  2. Step 2: Convert to fraction form
    53,265/80,869.50 = 80,869.50/x
  3. Step 3: Cross multiply
    53,265x = 80,869.50 × 80,869.50
  4. Step 4: Simplify right side
    53,265x = 6,539,876,030.25
  5. Step 5: Solve for x
    x = 6,539,876,030.25/53,265
  6. Step 6: Final answer
    x = 122,779.99

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.