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Finding the Third Proportional to 76,499.44 and 112,415.34

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Solution

The third proportional to 76,499.44 and 112,415.34 is: 165,193.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,499.44 : 112,415.34 = 112,415.34 : x
  2. Step 2: Convert to fraction form
    76,499.44/112,415.34 = 112,415.34/x
  3. Step 3: Cross multiply
    76,499.44x = 112,415.34 × 112,415.34
  4. Step 4: Simplify right side
    76,499.44x = 12,637,209,510.43
  5. Step 5: Solve for x
    x = 12,637,209,510.43/76,499.44
  6. Step 6: Final answer
    x = 165,193.50

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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.