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Finding the Third Proportional to 107,902 and 161,854

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Solution

The third proportional to 107,902 and 161,854 is: 242,782.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,902 : 161,854 = 161,854 : x
  2. Step 2: Convert to fraction form
    107,902/161,854 = 161,854/x
  3. Step 3: Cross multiply
    107,902x = 161,854 × 161,854
  4. Step 4: Simplify right side
    107,902x = 26,196,717,316
  5. Step 5: Solve for x
    x = 26,196,717,316/107,902
  6. Step 6: Final answer
    x = 242,782.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.