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Finding the Third Proportional to 77,852.81 and 170,245.13

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Solution

The third proportional to 77,852.81 and 170,245.13 is: 372,284.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,852.81 : 170,245.13 = 170,245.13 : x
  2. Step 2: Convert to fraction form
    77,852.81/170,245.13 = 170,245.13/x
  3. Step 3: Cross multiply
    77,852.81x = 170,245.13 × 170,245.13
  4. Step 4: Simplify right side
    77,852.81x = 28,983,402,586.27
  5. Step 5: Solve for x
    x = 28,983,402,586.27/77,852.81
  6. Step 6: Final answer
    x = 372,284.59

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.