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Finding the Third Proportional to 77,305 and 112,677

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Solution

The third proportional to 77,305 and 112,677 is: 164,233.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,305 : 112,677 = 112,677 : x
  2. Step 2: Convert to fraction form
    77,305/112,677 = 112,677/x
  3. Step 3: Cross multiply
    77,305x = 112,677 × 112,677
  4. Step 4: Simplify right side
    77,305x = 12,696,106,329
  5. Step 5: Solve for x
    x = 12,696,106,329/77,305
  6. Step 6: Final answer
    x = 164,233.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.