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Finding the Third Proportional to 105,668 and 249,248

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Solution

The third proportional to 105,668 and 249,248 is: 587,922.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,668 : 249,248 = 249,248 : x
  2. Step 2: Convert to fraction form
    105,668/249,248 = 249,248/x
  3. Step 3: Cross multiply
    105,668x = 249,248 × 249,248
  4. Step 4: Simplify right side
    105,668x = 62,124,565,504
  5. Step 5: Solve for x
    x = 62,124,565,504/105,668
  6. Step 6: Final answer
    x = 587,922.22

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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.