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Finding the Third Proportional to 78,026.25 and 114,260.25

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Solution

The third proportional to 78,026.25 and 114,260.25 is: 167,320.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,026.25 : 114,260.25 = 114,260.25 : x
  2. Step 2: Convert to fraction form
    78,026.25/114,260.25 = 114,260.25/x
  3. Step 3: Cross multiply
    78,026.25x = 114,260.25 × 114,260.25
  4. Step 4: Simplify right side
    78,026.25x = 13,055,404,730.06
  5. Step 5: Solve for x
    x = 13,055,404,730.06/78,026.25
  6. Step 6: Final answer
    x = 167,320.67

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.