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Finding the Third Proportional to 71,205.75 and 106,970.63

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Solution

The third proportional to 71,205.75 and 106,970.63 is: 160,699.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,205.75 : 106,970.63 = 106,970.63 : x
  2. Step 2: Convert to fraction form
    71,205.75/106,970.63 = 106,970.63/x
  3. Step 3: Cross multiply
    71,205.75x = 106,970.63 × 106,970.63
  4. Step 4: Simplify right side
    71,205.75x = 11,442,714,612.89
  5. Step 5: Solve for x
    x = 11,442,714,612.89/71,205.75
  6. Step 6: Final answer
    x = 160,699.31

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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.