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Finding the Third Proportional to 77,036 and 165,570

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Solution

The third proportional to 77,036 and 165,570 is: 355,852.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,036 : 165,570 = 165,570 : x
  2. Step 2: Convert to fraction form
    77,036/165,570 = 165,570/x
  3. Step 3: Cross multiply
    77,036x = 165,570 × 165,570
  4. Step 4: Simplify right side
    77,036x = 27,413,424,900
  5. Step 5: Solve for x
    x = 27,413,424,900/77,036
  6. Step 6: Final answer
    x = 355,852.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.