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Finding the Third Proportional to 98,731.13 and 148,969.13

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Solution

The third proportional to 98,731.13 and 148,969.13 is: 224,770.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,731.13 : 148,969.13 = 148,969.13 : x
  2. Step 2: Convert to fraction form
    98,731.13/148,969.13 = 148,969.13/x
  3. Step 3: Cross multiply
    98,731.13x = 148,969.13 × 148,969.13
  4. Step 4: Simplify right side
    98,731.13x = 22,191,800,203.27
  5. Step 5: Solve for x
    x = 22,191,800,203.27/98,731.13
  6. Step 6: Final answer
    x = 224,770.05

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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.