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Finding the Third Proportional to 77,042 and 118,254

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Solution

The third proportional to 77,042 and 118,254 is: 181,511.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,042 : 118,254 = 118,254 : x
  2. Step 2: Convert to fraction form
    77,042/118,254 = 118,254/x
  3. Step 3: Cross multiply
    77,042x = 118,254 × 118,254
  4. Step 4: Simplify right side
    77,042x = 13,984,008,516
  5. Step 5: Solve for x
    x = 13,984,008,516/77,042
  6. Step 6: Final answer
    x = 181,511.49

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Why These Related Problems?

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