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Finding the Third Proportional to 77,242 and 116,683

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Solution

The third proportional to 77,242 and 116,683 is: 176,263.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,242 : 116,683 = 116,683 : x
  2. Step 2: Convert to fraction form
    77,242/116,683 = 116,683/x
  3. Step 3: Cross multiply
    77,242x = 116,683 × 116,683
  4. Step 4: Simplify right side
    77,242x = 13,614,922,489
  5. Step 5: Solve for x
    x = 13,614,922,489/77,242
  6. Step 6: Final answer
    x = 176,263.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.