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Finding the Third Proportional to 76,588 and 112,212

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Solution

The third proportional to 76,588 and 112,212 is: 164,406.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,588 : 112,212 = 112,212 : x
  2. Step 2: Convert to fraction form
    76,588/112,212 = 112,212/x
  3. Step 3: Cross multiply
    76,588x = 112,212 × 112,212
  4. Step 4: Simplify right side
    76,588x = 12,591,532,944
  5. Step 5: Solve for x
    x = 12,591,532,944/76,588
  6. Step 6: Final answer
    x = 164,406.08

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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.