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Finding the Third Proportional to 72,155 and 105,439

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Solution

The third proportional to 72,155 and 105,439 is: 154,076.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,155 : 105,439 = 105,439 : x
  2. Step 2: Convert to fraction form
    72,155/105,439 = 105,439/x
  3. Step 3: Cross multiply
    72,155x = 105,439 × 105,439
  4. Step 4: Simplify right side
    72,155x = 11,117,382,721
  5. Step 5: Solve for x
    x = 11,117,382,721/72,155
  6. Step 6: Final answer
    x = 154,076.40

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.