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Finding the Third Proportional to 42,143.63 and 89,474.63

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Solution

The third proportional to 42,143.63 and 89,474.63 is: 189,962.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,143.63 : 89,474.63 = 89,474.63 : x
  2. Step 2: Convert to fraction form
    42,143.63/89,474.63 = 89,474.63/x
  3. Step 3: Cross multiply
    42,143.63x = 89,474.63 × 89,474.63
  4. Step 4: Simplify right side
    42,143.63x = 8,005,708,518.89
  5. Step 5: Solve for x
    x = 8,005,708,518.89/42,143.63
  6. Step 6: Final answer
    x = 189,962.50

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.