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Finding the Third Proportional to 77,415.75 and 170,055.38

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Solution

The third proportional to 77,415.75 and 170,055.38 is: 373,552.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,415.75 : 170,055.38 = 170,055.38 : x
  2. Step 2: Convert to fraction form
    77,415.75/170,055.38 = 170,055.38/x
  3. Step 3: Cross multiply
    77,415.75x = 170,055.38 × 170,055.38
  4. Step 4: Simplify right side
    77,415.75x = 28,918,830,566.39
  5. Step 5: Solve for x
    x = 28,918,830,566.39/77,415.75
  6. Step 6: Final answer
    x = 373,552.29

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.