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Finding the Third Proportional to 78,036.75 and 168,385.50

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Solution

The third proportional to 78,036.75 and 168,385.50 is: 363,337.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,036.75 : 168,385.50 = 168,385.50 : x
  2. Step 2: Convert to fraction form
    78,036.75/168,385.50 = 168,385.50/x
  3. Step 3: Cross multiply
    78,036.75x = 168,385.50 × 168,385.50
  4. Step 4: Simplify right side
    78,036.75x = 28,353,676,610.25
  5. Step 5: Solve for x
    x = 28,353,676,610.25/78,036.75
  6. Step 6: Final answer
    x = 363,337.49

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.