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Finding the Third Proportional to 133,052 and 157,655

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Solution

The third proportional to 133,052 and 157,655 is: 186,807.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,052 : 157,655 = 157,655 : x
  2. Step 2: Convert to fraction form
    133,052/157,655 = 157,655/x
  3. Step 3: Cross multiply
    133,052x = 157,655 × 157,655
  4. Step 4: Simplify right side
    133,052x = 24,855,099,025
  5. Step 5: Solve for x
    x = 24,855,099,025/133,052
  6. Step 6: Final answer
    x = 186,807.41

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.