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Finding the Third Proportional to 76,455.75 and 112,430.25

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Solution

The third proportional to 76,455.75 and 112,430.25 is: 165,331.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,455.75 : 112,430.25 = 112,430.25 : x
  2. Step 2: Convert to fraction form
    76,455.75/112,430.25 = 112,430.25/x
  3. Step 3: Cross multiply
    76,455.75x = 112,430.25 × 112,430.25
  4. Step 4: Simplify right side
    76,455.75x = 12,640,561,115.06
  5. Step 5: Solve for x
    x = 12,640,561,115.06/76,455.75
  6. Step 6: Final answer
    x = 165,331.73

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Why These Related Problems?

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