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Finding the Third Proportional to 130,401.75 and 172,228.50

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Solution

The third proportional to 130,401.75 and 172,228.50 is: 227,471.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,401.75 : 172,228.50 = 172,228.50 : x
  2. Step 2: Convert to fraction form
    130,401.75/172,228.50 = 172,228.50/x
  3. Step 3: Cross multiply
    130,401.75x = 172,228.50 × 172,228.50
  4. Step 4: Simplify right side
    130,401.75x = 29,662,656,212.25
  5. Step 5: Solve for x
    x = 29,662,656,212.25/130,401.75
  6. Step 6: Final answer
    x = 227,471.30

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These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.