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Finding the Third Proportional to 107,895.50 and 163,342.50

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Solution

The third proportional to 107,895.50 and 163,342.50 is: 247,283.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,895.50 : 163,342.50 = 163,342.50 : x
  2. Step 2: Convert to fraction form
    107,895.50/163,342.50 = 163,342.50/x
  3. Step 3: Cross multiply
    107,895.50x = 163,342.50 × 163,342.50
  4. Step 4: Simplify right side
    107,895.50x = 26,680,772,306.25
  5. Step 5: Solve for x
    x = 26,680,772,306.25/107,895.50
  6. Step 6: Final answer
    x = 247,283.46

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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.