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Finding the Third Proportional to 142,254 and 237,057

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Solution

The third proportional to 142,254 and 237,057 is: 395,040.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,254 : 237,057 = 237,057 : x
  2. Step 2: Convert to fraction form
    142,254/237,057 = 237,057/x
  3. Step 3: Cross multiply
    142,254x = 237,057 × 237,057
  4. Step 4: Simplify right side
    142,254x = 56,196,021,249
  5. Step 5: Solve for x
    x = 56,196,021,249/142,254
  6. Step 6: Final answer
    x = 395,040.01

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.