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Finding the Third Proportional to 70,320 and 151,024

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Solution

The third proportional to 70,320 and 151,024 is: 324,349.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,320 : 151,024 = 151,024 : x
  2. Step 2: Convert to fraction form
    70,320/151,024 = 151,024/x
  3. Step 3: Cross multiply
    70,320x = 151,024 × 151,024
  4. Step 4: Simplify right side
    70,320x = 22,808,248,576
  5. Step 5: Solve for x
    x = 22,808,248,576/70,320
  6. Step 6: Final answer
    x = 324,349.38

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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.