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Finding the Third Proportional to 107,316 and 159,705

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Solution

The third proportional to 107,316 and 159,705 is: 237,669.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,316 : 159,705 = 159,705 : x
  2. Step 2: Convert to fraction form
    107,316/159,705 = 159,705/x
  3. Step 3: Cross multiply
    107,316x = 159,705 × 159,705
  4. Step 4: Simplify right side
    107,316x = 25,505,687,025
  5. Step 5: Solve for x
    x = 25,505,687,025/107,316
  6. Step 6: Final answer
    x = 237,669.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.