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Finding the Third Proportional to 76,313.25 and 112,261.50

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Solution

The third proportional to 76,313.25 and 112,261.50 is: 165,143.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,313.25 : 112,261.50 = 112,261.50 : x
  2. Step 2: Convert to fraction form
    76,313.25/112,261.50 = 112,261.50/x
  3. Step 3: Cross multiply
    76,313.25x = 112,261.50 × 112,261.50
  4. Step 4: Simplify right side
    76,313.25x = 12,602,644,382.25
  5. Step 5: Solve for x
    x = 12,602,644,382.25/76,313.25
  6. Step 6: Final answer
    x = 165,143.59

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.