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Finding the Third Proportional to 79,317 and 116,782.50

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Solution

The third proportional to 79,317 and 116,782.50 is: 171,944.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,317 : 116,782.50 = 116,782.50 : x
  2. Step 2: Convert to fraction form
    79,317/116,782.50 = 116,782.50/x
  3. Step 3: Cross multiply
    79,317x = 116,782.50 × 116,782.50
  4. Step 4: Simplify right side
    79,317x = 13,638,152,306.25
  5. Step 5: Solve for x
    x = 13,638,152,306.25/79,317
  6. Step 6: Final answer
    x = 171,944.88

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.