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Finding the Third Proportional to 56,774.25 and 83,507.63

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Solution

The third proportional to 56,774.25 and 83,507.63 is: 122,828.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,774.25 : 83,507.63 = 83,507.63 : x
  2. Step 2: Convert to fraction form
    56,774.25/83,507.63 = 83,507.63/x
  3. Step 3: Cross multiply
    56,774.25x = 83,507.63 × 83,507.63
  4. Step 4: Simplify right side
    56,774.25x = 6,973,523,433.14
  5. Step 5: Solve for x
    x = 6,973,523,433.14/56,774.25
  6. Step 6: Final answer
    x = 122,828.98

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.