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Finding the Third Proportional to 76,322 and 112,276

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Solution

The third proportional to 76,322 and 112,276 is: 165,167.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,322 : 112,276 = 112,276 : x
  2. Step 2: Convert to fraction form
    76,322/112,276 = 112,276/x
  3. Step 3: Cross multiply
    76,322x = 112,276 × 112,276
  4. Step 4: Simplify right side
    76,322x = 12,605,900,176
  5. Step 5: Solve for x
    x = 12,605,900,176/76,322
  6. Step 6: Final answer
    x = 165,167.32

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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.