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Finding the Third Proportional to 76,354.88 and 116,507.25

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Solution

The third proportional to 76,354.88 and 116,507.25 is: 177,774.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,354.88 : 116,507.25 = 116,507.25 : x
  2. Step 2: Convert to fraction form
    76,354.88/116,507.25 = 116,507.25/x
  3. Step 3: Cross multiply
    76,354.88x = 116,507.25 × 116,507.25
  4. Step 4: Simplify right side
    76,354.88x = 13,573,939,302.56
  5. Step 5: Solve for x
    x = 13,573,939,302.56/76,354.88
  6. Step 6: Final answer
    x = 177,774.36

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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.