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Finding the Third Proportional to 132,406.50 and 170,006.63

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Solution

The third proportional to 132,406.50 and 170,006.63 is: 218,284.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,406.50 : 170,006.63 = 170,006.63 : x
  2. Step 2: Convert to fraction form
    132,406.50/170,006.63 = 170,006.63/x
  3. Step 3: Cross multiply
    132,406.50x = 170,006.63 × 170,006.63
  4. Step 4: Simplify right side
    132,406.50x = 28,902,252,543.89
  5. Step 5: Solve for x
    x = 28,902,252,543.89/132,406.50
  6. Step 6: Final answer
    x = 218,284.24

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.