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Finding the Third Proportional to 148,047.75 and 221,085

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Solution

The third proportional to 148,047.75 and 221,085 is: 330,154.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,047.75 : 221,085 = 221,085 : x
  2. Step 2: Convert to fraction form
    148,047.75/221,085 = 221,085/x
  3. Step 3: Cross multiply
    148,047.75x = 221,085 × 221,085
  4. Step 4: Simplify right side
    148,047.75x = 48,878,577,225
  5. Step 5: Solve for x
    x = 48,878,577,225/148,047.75
  6. Step 6: Final answer
    x = 330,154.14

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.