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Finding the Third Proportional to 77,599 and 118,655

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Solution

The third proportional to 77,599 and 118,655 is: 181,432.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,599 : 118,655 = 118,655 : x
  2. Step 2: Convert to fraction form
    77,599/118,655 = 118,655/x
  3. Step 3: Cross multiply
    77,599x = 118,655 × 118,655
  4. Step 4: Simplify right side
    77,599x = 14,079,009,025
  5. Step 5: Solve for x
    x = 14,079,009,025/77,599
  6. Step 6: Final answer
    x = 181,432.87

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.