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Finding the Third Proportional to 131,999.63 and 189,158.63

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Solution

The third proportional to 131,999.63 and 189,158.63 is: 271,068.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,999.63 : 189,158.63 = 189,158.63 : x
  2. Step 2: Convert to fraction form
    131,999.63/189,158.63 = 189,158.63/x
  3. Step 3: Cross multiply
    131,999.63x = 189,158.63 × 189,158.63
  4. Step 4: Simplify right side
    131,999.63x = 35,780,985,411.89
  5. Step 5: Solve for x
    x = 35,780,985,411.89/131,999.63
  6. Step 6: Final answer
    x = 271,068.84

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.