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Finding the Third Proportional to 135,536 and 181,130

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Solution

The third proportional to 135,536 and 181,130 is: 242,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,536 : 181,130 = 181,130 : x
  2. Step 2: Convert to fraction form
    135,536/181,130 = 181,130/x
  3. Step 3: Cross multiply
    135,536x = 181,130 × 181,130
  4. Step 4: Simplify right side
    135,536x = 32,808,076,900
  5. Step 5: Solve for x
    x = 32,808,076,900/135,536
  6. Step 6: Final answer
    x = 242,061.72

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.