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Finding the Third Proportional to 76,466 and 118,109

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Solution

The third proportional to 76,466 and 118,109 is: 182,430.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,466 : 118,109 = 118,109 : x
  2. Step 2: Convert to fraction form
    76,466/118,109 = 118,109/x
  3. Step 3: Cross multiply
    76,466x = 118,109 × 118,109
  4. Step 4: Simplify right side
    76,466x = 13,949,735,881
  5. Step 5: Solve for x
    x = 13,949,735,881/76,466
  6. Step 6: Final answer
    x = 182,430.57

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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.