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Finding the Third Proportional to 105,681.75 and 249,220.75

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Solution

The third proportional to 105,681.75 and 249,220.75 is: 587,717.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,681.75 : 249,220.75 = 249,220.75 : x
  2. Step 2: Convert to fraction form
    105,681.75/249,220.75 = 249,220.75/x
  3. Step 3: Cross multiply
    105,681.75x = 249,220.75 × 249,220.75
  4. Step 4: Simplify right side
    105,681.75x = 62,110,982,230.56
  5. Step 5: Solve for x
    x = 62,110,982,230.56/105,681.75
  6. Step 6: Final answer
    x = 587,717.20

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Why These Related Problems?

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