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Finding the Third Proportional to 77,826.75 and 114,157.50

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Solution

The third proportional to 77,826.75 and 114,157.50 is: 167,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,826.75 : 114,157.50 = 114,157.50 : x
  2. Step 2: Convert to fraction form
    77,826.75/114,157.50 = 114,157.50/x
  3. Step 3: Cross multiply
    77,826.75x = 114,157.50 × 114,157.50
  4. Step 4: Simplify right side
    77,826.75x = 13,031,934,806.25
  5. Step 5: Solve for x
    x = 13,031,934,806.25/77,826.75
  6. Step 6: Final answer
    x = 167,448.02

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Why These Related Problems?

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