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Finding the Third Proportional to 76,347.56 and 116,579.25

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Solution

The third proportional to 76,347.56 and 116,579.25 is: 178,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,347.56 : 116,579.25 = 116,579.25 : x
  2. Step 2: Convert to fraction form
    76,347.56/116,579.25 = 116,579.25/x
  3. Step 3: Cross multiply
    76,347.56x = 116,579.25 × 116,579.25
  4. Step 4: Simplify right side
    76,347.56x = 13,590,721,530.56
  5. Step 5: Solve for x
    x = 13,590,721,530.56/76,347.56
  6. Step 6: Final answer
    x = 178,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.