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Finding the Third Proportional to 78,034.88 and 116,838.56

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Solution

The third proportional to 78,034.88 and 116,838.56 is: 174,937.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,034.88 : 116,838.56 = 116,838.56 : x
  2. Step 2: Convert to fraction form
    78,034.88/116,838.56 = 116,838.56/x
  3. Step 3: Cross multiply
    78,034.88x = 116,838.56 × 116,838.56
  4. Step 4: Simplify right side
    78,034.88x = 13,651,249,687.07
  5. Step 5: Solve for x
    x = 13,651,249,687.07/78,034.88
  6. Step 6: Final answer
    x = 174,937.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.