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Finding the Third Proportional to 76,580 and 112,203

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Solution

The third proportional to 76,580 and 112,203 is: 164,396.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,580 : 112,203 = 112,203 : x
  2. Step 2: Convert to fraction form
    76,580/112,203 = 112,203/x
  3. Step 3: Cross multiply
    76,580x = 112,203 × 112,203
  4. Step 4: Simplify right side
    76,580x = 12,589,513,209
  5. Step 5: Solve for x
    x = 12,589,513,209/76,580
  6. Step 6: Final answer
    x = 164,396.88

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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.