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Finding the Third Proportional to 107,880 and 163,315.50

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Solution

The third proportional to 107,880 and 163,315.50 is: 247,237.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,880 : 163,315.50 = 163,315.50 : x
  2. Step 2: Convert to fraction form
    107,880/163,315.50 = 163,315.50/x
  3. Step 3: Cross multiply
    107,880x = 163,315.50 × 163,315.50
  4. Step 4: Simplify right side
    107,880x = 26,671,952,540.25
  5. Step 5: Solve for x
    x = 26,671,952,540.25/107,880
  6. Step 6: Final answer
    x = 247,237.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.