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Finding the Third Proportional to 46,172 and 69,312

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Solution

The third proportional to 46,172 and 69,312 is: 104,049.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,172 : 69,312 = 69,312 : x
  2. Step 2: Convert to fraction form
    46,172/69,312 = 69,312/x
  3. Step 3: Cross multiply
    46,172x = 69,312 × 69,312
  4. Step 4: Simplify right side
    46,172x = 4,804,153,344
  5. Step 5: Solve for x
    x = 4,804,153,344/46,172
  6. Step 6: Final answer
    x = 104,049.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.