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Finding the Third Proportional to 84,719.63 and 112,946.63

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Solution

The third proportional to 84,719.63 and 112,946.63 is: 150,578.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,719.63 : 112,946.63 = 112,946.63 : x
  2. Step 2: Convert to fraction form
    84,719.63/112,946.63 = 112,946.63/x
  3. Step 3: Cross multiply
    84,719.63x = 112,946.63 × 112,946.63
  4. Step 4: Simplify right side
    84,719.63x = 12,756,940,098.89
  5. Step 5: Solve for x
    x = 12,756,940,098.89/84,719.63
  6. Step 6: Final answer
    x = 150,578.34

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.