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Finding the Third Proportional to 46,817 and 70,153

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Solution

The third proportional to 46,817 and 70,153 is: 105,120.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,817 : 70,153 = 70,153 : x
  2. Step 2: Convert to fraction form
    46,817/70,153 = 70,153/x
  3. Step 3: Cross multiply
    46,817x = 70,153 × 70,153
  4. Step 4: Simplify right side
    46,817x = 4,921,443,409
  5. Step 5: Solve for x
    x = 4,921,443,409/46,817
  6. Step 6: Final answer
    x = 105,120.86

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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.