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Finding the Third Proportional to 47,574.84 and 112,512.80

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Solution

The third proportional to 47,574.84 and 112,512.80 is: 266,088.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,574.84 : 112,512.80 = 112,512.80 : x
  2. Step 2: Convert to fraction form
    47,574.84/112,512.80 = 112,512.80/x
  3. Step 3: Cross multiply
    47,574.84x = 112,512.80 × 112,512.80
  4. Step 4: Simplify right side
    47,574.84x = 12,659,129,460.64
  5. Step 5: Solve for x
    x = 12,659,129,460.64/47,574.84
  6. Step 6: Final answer
    x = 266,088.72

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.