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Finding the Third Proportional to 132,405.89 and 170,005.50

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Solution

The third proportional to 132,405.89 and 170,005.50 is: 218,282.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,405.89 : 170,005.50 = 170,005.50 : x
  2. Step 2: Convert to fraction form
    132,405.89/170,005.50 = 170,005.50/x
  3. Step 3: Cross multiply
    132,405.89x = 170,005.50 × 170,005.50
  4. Step 4: Simplify right side
    132,405.89x = 28,901,870,030.25
  5. Step 5: Solve for x
    x = 28,901,870,030.25/132,405.89
  6. Step 6: Final answer
    x = 218,282.36

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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.