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Finding the Third Proportional to 70,293 and 107,527.50

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Solution

The third proportional to 70,293 and 107,527.50 is: 164,485.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,293 : 107,527.50 = 107,527.50 : x
  2. Step 2: Convert to fraction form
    70,293/107,527.50 = 107,527.50/x
  3. Step 3: Cross multiply
    70,293x = 107,527.50 × 107,527.50
  4. Step 4: Simplify right side
    70,293x = 11,562,163,256.25
  5. Step 5: Solve for x
    x = 11,562,163,256.25/70,293
  6. Step 6: Final answer
    x = 164,485.27

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.