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Finding the Third Proportional to 81,698.63 and 112,503.94

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Solution

The third proportional to 81,698.63 and 112,503.94 is: 154,924.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,698.63 : 112,503.94 = 112,503.94 : x
  2. Step 2: Convert to fraction form
    81,698.63/112,503.94 = 112,503.94/x
  3. Step 3: Cross multiply
    81,698.63x = 112,503.94 × 112,503.94
  4. Step 4: Simplify right side
    81,698.63x = 12,657,135,953.00
  5. Step 5: Solve for x
    x = 12,657,135,953.00/81,698.63
  6. Step 6: Final answer
    x = 154,924.71

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.