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Finding the Third Proportional to 80,411 and 118,277.63

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Solution

The third proportional to 80,411 and 118,277.63 is: 173,976.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,411 : 118,277.63 = 118,277.63 : x
  2. Step 2: Convert to fraction form
    80,411/118,277.63 = 118,277.63/x
  3. Step 3: Cross multiply
    80,411x = 118,277.63 × 118,277.63
  4. Step 4: Simplify right side
    80,411x = 13,989,596,575.64
  5. Step 5: Solve for x
    x = 13,989,596,575.64/80,411
  6. Step 6: Final answer
    x = 173,976.15

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Why These Related Problems?

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