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Finding the Third Proportional to 96,344 and 148,202

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Solution

The third proportional to 96,344 and 148,202 is: 227,973.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,344 : 148,202 = 148,202 : x
  2. Step 2: Convert to fraction form
    96,344/148,202 = 148,202/x
  3. Step 3: Cross multiply
    96,344x = 148,202 × 148,202
  4. Step 4: Simplify right side
    96,344x = 21,963,832,804
  5. Step 5: Solve for x
    x = 21,963,832,804/96,344
  6. Step 6: Final answer
    x = 227,973.02

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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.