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Finding the Third Proportional to 96,237 and 148,113

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Solution

The third proportional to 96,237 and 148,113 is: 227,952.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,237 : 148,113 = 148,113 : x
  2. Step 2: Convert to fraction form
    96,237/148,113 = 148,113/x
  3. Step 3: Cross multiply
    96,237x = 148,113 × 148,113
  4. Step 4: Simplify right side
    96,237x = 21,937,460,769
  5. Step 5: Solve for x
    x = 21,937,460,769/96,237
  6. Step 6: Final answer
    x = 227,952.46

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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.