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Finding the Third Proportional to 78,804.68 and 170,065.01

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Solution

The third proportional to 78,804.68 and 170,065.01 is: 367,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,804.68 : 170,065.01 = 170,065.01 : x
  2. Step 2: Convert to fraction form
    78,804.68/170,065.01 = 170,065.01/x
  3. Step 3: Cross multiply
    78,804.68x = 170,065.01 × 170,065.01
  4. Step 4: Simplify right side
    78,804.68x = 28,922,108,439.25
  5. Step 5: Solve for x
    x = 28,922,108,439.25/78,804.68
  6. Step 6: Final answer
    x = 367,010.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.