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Finding the Third Proportional to 77,978.25 and 123,966.13

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Solution

The third proportional to 77,978.25 and 123,966.13 is: 197,075.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,978.25 : 123,966.13 = 123,966.13 : x
  2. Step 2: Convert to fraction form
    77,978.25/123,966.13 = 123,966.13/x
  3. Step 3: Cross multiply
    77,978.25x = 123,966.13 × 123,966.13
  4. Step 4: Simplify right side
    77,978.25x = 15,367,600,147.52
  5. Step 5: Solve for x
    x = 15,367,600,147.52/77,978.25
  6. Step 6: Final answer
    x = 197,075.47

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.