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Finding the Third Proportional to 96,610 and 144,024

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Solution

The third proportional to 96,610 and 144,024 is: 214,707.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,610 : 144,024 = 144,024 : x
  2. Step 2: Convert to fraction form
    96,610/144,024 = 144,024/x
  3. Step 3: Cross multiply
    96,610x = 144,024 × 144,024
  4. Step 4: Simplify right side
    96,610x = 20,742,912,576
  5. Step 5: Solve for x
    x = 20,742,912,576/96,610
  6. Step 6: Final answer
    x = 214,707.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.