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Finding the Third Proportional to 83,336.25 and 127,054.50

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Solution

The third proportional to 83,336.25 and 127,054.50 is: 193,707.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,336.25 : 127,054.50 = 127,054.50 : x
  2. Step 2: Convert to fraction form
    83,336.25/127,054.50 = 127,054.50/x
  3. Step 3: Cross multiply
    83,336.25x = 127,054.50 × 127,054.50
  4. Step 4: Simplify right side
    83,336.25x = 16,142,845,970.25
  5. Step 5: Solve for x
    x = 16,142,845,970.25/83,336.25
  6. Step 6: Final answer
    x = 193,707.37

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.