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Finding the Third Proportional to 47,185 and 73,646

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Solution

The third proportional to 47,185 and 73,646 is: 114,946.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,185 : 73,646 = 73,646 : x
  2. Step 2: Convert to fraction form
    47,185/73,646 = 73,646/x
  3. Step 3: Cross multiply
    47,185x = 73,646 × 73,646
  4. Step 4: Simplify right side
    47,185x = 5,423,733,316
  5. Step 5: Solve for x
    x = 5,423,733,316/47,185
  6. Step 6: Final answer
    x = 114,946.13

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.