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Finding the Third Proportional to 105,675.75 and 249,205.75

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Solution

The third proportional to 105,675.75 and 249,205.75 is: 587,679.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,675.75 : 249,205.75 = 249,205.75 : x
  2. Step 2: Convert to fraction form
    105,675.75/249,205.75 = 249,205.75/x
  3. Step 3: Cross multiply
    105,675.75x = 249,205.75 × 249,205.75
  4. Step 4: Simplify right side
    105,675.75x = 62,103,505,833.06
  5. Step 5: Solve for x
    x = 62,103,505,833.06/105,675.75
  6. Step 6: Final answer
    x = 587,679.82

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.