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Finding the Third Proportional to 76,437 and 112,305

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Solution

The third proportional to 76,437 and 112,305 is: 165,004.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,437 : 112,305 = 112,305 : x
  2. Step 2: Convert to fraction form
    76,437/112,305 = 112,305/x
  3. Step 3: Cross multiply
    76,437x = 112,305 × 112,305
  4. Step 4: Simplify right side
    76,437x = 12,612,413,025
  5. Step 5: Solve for x
    x = 12,612,413,025/76,437
  6. Step 6: Final answer
    x = 165,004.03

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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.