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Finding the Third Proportional to 72,153 and 147,890

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Solution

The third proportional to 72,153 and 147,890 is: 303,126.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,153 : 147,890 = 147,890 : x
  2. Step 2: Convert to fraction form
    72,153/147,890 = 147,890/x
  3. Step 3: Cross multiply
    72,153x = 147,890 × 147,890
  4. Step 4: Simplify right side
    72,153x = 21,871,452,100
  5. Step 5: Solve for x
    x = 21,871,452,100/72,153
  6. Step 6: Final answer
    x = 303,126.03

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.