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Finding the Third Proportional to 46,478 and 70,154

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Solution

The third proportional to 46,478 and 70,154 is: 105,890.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,478 : 70,154 = 70,154 : x
  2. Step 2: Convert to fraction form
    46,478/70,154 = 70,154/x
  3. Step 3: Cross multiply
    46,478x = 70,154 × 70,154
  4. Step 4: Simplify right side
    46,478x = 4,921,583,716
  5. Step 5: Solve for x
    x = 4,921,583,716/46,478
  6. Step 6: Final answer
    x = 105,890.61

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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.