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Finding the Third Proportional to 98,392 and 148,760

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Solution

The third proportional to 98,392 and 148,760 is: 224,911.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,392 : 148,760 = 148,760 : x
  2. Step 2: Convert to fraction form
    98,392/148,760 = 148,760/x
  3. Step 3: Cross multiply
    98,392x = 148,760 × 148,760
  4. Step 4: Simplify right side
    98,392x = 22,129,537,600
  5. Step 5: Solve for x
    x = 22,129,537,600/98,392
  6. Step 6: Final answer
    x = 224,911.96

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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.