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Finding the Third Proportional to 46,706 and 70,069

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Solution

The third proportional to 46,706 and 70,069 is: 105,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,706 : 70,069 = 70,069 : x
  2. Step 2: Convert to fraction form
    46,706/70,069 = 70,069/x
  3. Step 3: Cross multiply
    46,706x = 70,069 × 70,069
  4. Step 4: Simplify right side
    46,706x = 4,909,664,761
  5. Step 5: Solve for x
    x = 4,909,664,761/46,706
  6. Step 6: Final answer
    x = 105,118.50

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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.