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Finding the Third Proportional to 46,084 and 73,502

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Solution

The third proportional to 46,084 and 73,502 is: 117,232.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,084 : 73,502 = 73,502 : x
  2. Step 2: Convert to fraction form
    46,084/73,502 = 73,502/x
  3. Step 3: Cross multiply
    46,084x = 73,502 × 73,502
  4. Step 4: Simplify right side
    46,084x = 5,402,544,004
  5. Step 5: Solve for x
    x = 5,402,544,004/46,084
  6. Step 6: Final answer
    x = 117,232.53

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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.