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Finding the Third Proportional to 76,321 and 112,273

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Solution

The third proportional to 76,321 and 112,273 is: 165,160.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,321 : 112,273 = 112,273 : x
  2. Step 2: Convert to fraction form
    76,321/112,273 = 112,273/x
  3. Step 3: Cross multiply
    76,321x = 112,273 × 112,273
  4. Step 4: Simplify right side
    76,321x = 12,605,226,529
  5. Step 5: Solve for x
    x = 12,605,226,529/76,321
  6. Step 6: Final answer
    x = 165,160.66

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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.