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Finding the Third Proportional to 96,475 and 137,617

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Solution

The third proportional to 96,475 and 137,617 is: 196,304.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,475 : 137,617 = 137,617 : x
  2. Step 2: Convert to fraction form
    96,475/137,617 = 137,617/x
  3. Step 3: Cross multiply
    96,475x = 137,617 × 137,617
  4. Step 4: Simplify right side
    96,475x = 18,938,438,689
  5. Step 5: Solve for x
    x = 18,938,438,689/96,475
  6. Step 6: Final answer
    x = 196,304.11

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.