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Finding the Third Proportional to 98,477 and 148,890

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Solution

The third proportional to 98,477 and 148,890 is: 225,110.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,477 : 148,890 = 148,890 : x
  2. Step 2: Convert to fraction form
    98,477/148,890 = 148,890/x
  3. Step 3: Cross multiply
    98,477x = 148,890 × 148,890
  4. Step 4: Simplify right side
    98,477x = 22,168,232,100
  5. Step 5: Solve for x
    x = 22,168,232,100/98,477
  6. Step 6: Final answer
    x = 225,110.76

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.