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Finding the Third Proportional to 137,428 and 195,998

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Solution

The third proportional to 137,428 and 195,998 is: 279,529.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,428 : 195,998 = 195,998 : x
  2. Step 2: Convert to fraction form
    137,428/195,998 = 195,998/x
  3. Step 3: Cross multiply
    137,428x = 195,998 × 195,998
  4. Step 4: Simplify right side
    137,428x = 38,415,216,004
  5. Step 5: Solve for x
    x = 38,415,216,004/137,428
  6. Step 6: Final answer
    x = 279,529.76

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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.