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Finding the Third Proportional to 76,683 and 118,444.50

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Solution

The third proportional to 76,683 and 118,444.50 is: 182,949.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,683 : 118,444.50 = 118,444.50 : x
  2. Step 2: Convert to fraction form
    76,683/118,444.50 = 118,444.50/x
  3. Step 3: Cross multiply
    76,683x = 118,444.50 × 118,444.50
  4. Step 4: Simplify right side
    76,683x = 14,029,099,580.25
  5. Step 5: Solve for x
    x = 14,029,099,580.25/76,683
  6. Step 6: Final answer
    x = 182,949.28

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.