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Finding the Third Proportional to 76,707 and 118,746

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Solution

The third proportional to 76,707 and 118,746 is: 183,824.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,707 : 118,746 = 118,746 : x
  2. Step 2: Convert to fraction form
    76,707/118,746 = 118,746/x
  3. Step 3: Cross multiply
    76,707x = 118,746 × 118,746
  4. Step 4: Simplify right side
    76,707x = 14,100,612,516
  5. Step 5: Solve for x
    x = 14,100,612,516/76,707
  6. Step 6: Final answer
    x = 183,824.33

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.