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Finding the Third Proportional to 76,326 and 112,284

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Solution

The third proportional to 76,326 and 112,284 is: 165,182.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,326 : 112,284 = 112,284 : x
  2. Step 2: Convert to fraction form
    76,326/112,284 = 112,284/x
  3. Step 3: Cross multiply
    76,326x = 112,284 × 112,284
  4. Step 4: Simplify right side
    76,326x = 12,607,696,656
  5. Step 5: Solve for x
    x = 12,607,696,656/76,326
  6. Step 6: Final answer
    x = 165,182.20

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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.