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Finding the Third Proportional to 75,643.50 and 162,957

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Solution

The third proportional to 75,643.50 and 162,957 is: 351,054.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,643.50 : 162,957 = 162,957 : x
  2. Step 2: Convert to fraction form
    75,643.50/162,957 = 162,957/x
  3. Step 3: Cross multiply
    75,643.50x = 162,957 × 162,957
  4. Step 4: Simplify right side
    75,643.50x = 26,554,983,849
  5. Step 5: Solve for x
    x = 26,554,983,849/75,643.50
  6. Step 6: Final answer
    x = 351,054.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.