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Finding the Third Proportional to 72,496 and 102,088

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Solution

The third proportional to 72,496 and 102,088 is: 143,759.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,496 : 102,088 = 102,088 : x
  2. Step 2: Convert to fraction form
    72,496/102,088 = 102,088/x
  3. Step 3: Cross multiply
    72,496x = 102,088 × 102,088
  4. Step 4: Simplify right side
    72,496x = 10,421,959,744
  5. Step 5: Solve for x
    x = 10,421,959,744/72,496
  6. Step 6: Final answer
    x = 143,759.10

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.