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Finding the Third Proportional to 71,143 and 151,046

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Solution

The third proportional to 71,143 and 151,046 is: 320,690.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,143 : 151,046 = 151,046 : x
  2. Step 2: Convert to fraction form
    71,143/151,046 = 151,046/x
  3. Step 3: Cross multiply
    71,143x = 151,046 × 151,046
  4. Step 4: Simplify right side
    71,143x = 22,814,894,116
  5. Step 5: Solve for x
    x = 22,814,894,116/71,143
  6. Step 6: Final answer
    x = 320,690.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.