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Finding the Third Proportional to 57,468 and 83,973

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Solution

The third proportional to 57,468 and 83,973 is: 122,702.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,468 : 83,973 = 83,973 : x
  2. Step 2: Convert to fraction form
    57,468/83,973 = 83,973/x
  3. Step 3: Cross multiply
    57,468x = 83,973 × 83,973
  4. Step 4: Simplify right side
    57,468x = 7,051,464,729
  5. Step 5: Solve for x
    x = 7,051,464,729/57,468
  6. Step 6: Final answer
    x = 122,702.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.