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Finding the Third Proportional to 70,402 and 143,250

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Solution

The third proportional to 70,402 and 143,250 is: 291,476.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,402 : 143,250 = 143,250 : x
  2. Step 2: Convert to fraction form
    70,402/143,250 = 143,250/x
  3. Step 3: Cross multiply
    70,402x = 143,250 × 143,250
  4. Step 4: Simplify right side
    70,402x = 20,520,562,500
  5. Step 5: Solve for x
    x = 20,520,562,500/70,402
  6. Step 6: Final answer
    x = 291,476.98

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.