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Finding the Third Proportional to 46,485 and 70,164

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Solution

The third proportional to 46,485 and 70,164 is: 105,904.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,485 : 70,164 = 70,164 : x
  2. Step 2: Convert to fraction form
    46,485/70,164 = 70,164/x
  3. Step 3: Cross multiply
    46,485x = 70,164 × 70,164
  4. Step 4: Simplify right side
    46,485x = 4,922,986,896
  5. Step 5: Solve for x
    x = 4,922,986,896/46,485
  6. Step 6: Final answer
    x = 105,904.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.