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Finding the Third Proportional to 124,813.50 and 269,308.50

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Solution

The third proportional to 124,813.50 and 269,308.50 is: 581,083.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,813.50 : 269,308.50 = 269,308.50 : x
  2. Step 2: Convert to fraction form
    124,813.50/269,308.50 = 269,308.50/x
  3. Step 3: Cross multiply
    124,813.50x = 269,308.50 × 269,308.50
  4. Step 4: Simplify right side
    124,813.50x = 72,527,068,172.25
  5. Step 5: Solve for x
    x = 72,527,068,172.25/124,813.50
  6. Step 6: Final answer
    x = 581,083.52

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.