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Finding the Third Proportional to 93,498 and 127,738.50

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Solution

The third proportional to 93,498 and 127,738.50 is: 174,518.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,498 : 127,738.50 = 127,738.50 : x
  2. Step 2: Convert to fraction form
    93,498/127,738.50 = 127,738.50/x
  3. Step 3: Cross multiply
    93,498x = 127,738.50 × 127,738.50
  4. Step 4: Simplify right side
    93,498x = 16,317,124,382.25
  5. Step 5: Solve for x
    x = 16,317,124,382.25/93,498
  6. Step 6: Final answer
    x = 174,518.43

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.