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Finding the Third Proportional to 76,356 and 118,896

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Solution

The third proportional to 76,356 and 118,896 is: 185,136.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,356 : 118,896 = 118,896 : x
  2. Step 2: Convert to fraction form
    76,356/118,896 = 118,896/x
  3. Step 3: Cross multiply
    76,356x = 118,896 × 118,896
  4. Step 4: Simplify right side
    76,356x = 14,136,258,816
  5. Step 5: Solve for x
    x = 14,136,258,816/76,356
  6. Step 6: Final answer
    x = 185,136.19

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.