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Finding the Third Proportional to 120,232 and 186,900

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Solution

The third proportional to 120,232 and 186,900 is: 290,535.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,232 : 186,900 = 186,900 : x
  2. Step 2: Convert to fraction form
    120,232/186,900 = 186,900/x
  3. Step 3: Cross multiply
    120,232x = 186,900 × 186,900
  4. Step 4: Simplify right side
    120,232x = 34,931,610,000
  5. Step 5: Solve for x
    x = 34,931,610,000/120,232
  6. Step 6: Final answer
    x = 290,535.05

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.