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Finding the Third Proportional to 46,316 and 73,757

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Solution

The third proportional to 46,316 and 73,757 is: 117,456.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,316 : 73,757 = 73,757 : x
  2. Step 2: Convert to fraction form
    46,316/73,757 = 73,757/x
  3. Step 3: Cross multiply
    46,316x = 73,757 × 73,757
  4. Step 4: Simplify right side
    46,316x = 5,440,095,049
  5. Step 5: Solve for x
    x = 5,440,095,049/46,316
  6. Step 6: Final answer
    x = 117,456.06

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.