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Finding the Third Proportional to 98,100 and 147,158

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Solution

The third proportional to 98,100 and 147,158 is: 220,749.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,100 : 147,158 = 147,158 : x
  2. Step 2: Convert to fraction form
    98,100/147,158 = 147,158/x
  3. Step 3: Cross multiply
    98,100x = 147,158 × 147,158
  4. Step 4: Simplify right side
    98,100x = 21,655,476,964
  5. Step 5: Solve for x
    x = 21,655,476,964/98,100
  6. Step 6: Final answer
    x = 220,749.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.