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Finding the Third Proportional to 96,242 and 148,120

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Solution

The third proportional to 96,242 and 148,120 is: 227,962.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,242 : 148,120 = 148,120 : x
  2. Step 2: Convert to fraction form
    96,242/148,120 = 148,120/x
  3. Step 3: Cross multiply
    96,242x = 148,120 × 148,120
  4. Step 4: Simplify right side
    96,242x = 21,939,534,400
  5. Step 5: Solve for x
    x = 21,939,534,400/96,242
  6. Step 6: Final answer
    x = 227,962.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.