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Finding the Third Proportional to 139,410 and 161,118

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Solution

The third proportional to 139,410 and 161,118 is: 186,206.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,410 : 161,118 = 161,118 : x
  2. Step 2: Convert to fraction form
    139,410/161,118 = 161,118/x
  3. Step 3: Cross multiply
    139,410x = 161,118 × 161,118
  4. Step 4: Simplify right side
    139,410x = 25,959,009,924
  5. Step 5: Solve for x
    x = 25,959,009,924/139,410
  6. Step 6: Final answer
    x = 186,206.23

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.