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Finding the Third Proportional to 96,240 and 147,155

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Solution

The third proportional to 96,240 and 147,155 is: 225,006.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,240 : 147,155 = 147,155 : x
  2. Step 2: Convert to fraction form
    96,240/147,155 = 147,155/x
  3. Step 3: Cross multiply
    96,240x = 147,155 × 147,155
  4. Step 4: Simplify right side
    96,240x = 21,654,594,025
  5. Step 5: Solve for x
    x = 21,654,594,025/96,240
  6. Step 6: Final answer
    x = 225,006.17

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.