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Finding the Third Proportional to 30,192.75 and 70,135.88

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Solution

The third proportional to 30,192.75 and 70,135.88 is: 162,921.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,192.75 : 70,135.88 = 70,135.88 : x
  2. Step 2: Convert to fraction form
    30,192.75/70,135.88 = 70,135.88/x
  3. Step 3: Cross multiply
    30,192.75x = 70,135.88 × 70,135.88
  4. Step 4: Simplify right side
    30,192.75x = 4,919,040,962.02
  5. Step 5: Solve for x
    x = 4,919,040,962.02/30,192.75
  6. Step 6: Final answer
    x = 162,921.26

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.