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Finding the Third Proportional to 51,417 and 77,672.25

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Solution

The third proportional to 51,417 and 77,672.25 is: 117,334.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,417 : 77,672.25 = 77,672.25 : x
  2. Step 2: Convert to fraction form
    51,417/77,672.25 = 77,672.25/x
  3. Step 3: Cross multiply
    51,417x = 77,672.25 × 77,672.25
  4. Step 4: Simplify right side
    51,417x = 6,032,978,420.06
  5. Step 5: Solve for x
    x = 6,032,978,420.06/51,417
  6. Step 6: Final answer
    x = 117,334.31

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.