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Finding the Third Proportional to 107,158 and 161,709

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Solution

The third proportional to 107,158 and 161,709 is: 244,030.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,158 : 161,709 = 161,709 : x
  2. Step 2: Convert to fraction form
    107,158/161,709 = 161,709/x
  3. Step 3: Cross multiply
    107,158x = 161,709 × 161,709
  4. Step 4: Simplify right side
    107,158x = 26,149,800,681
  5. Step 5: Solve for x
    x = 26,149,800,681/107,158
  6. Step 6: Final answer
    x = 244,030.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.