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Finding the Third Proportional to 97,014 and 145,143

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Solution

The third proportional to 97,014 and 145,143 is: 217,148.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,014 : 145,143 = 145,143 : x
  2. Step 2: Convert to fraction form
    97,014/145,143 = 145,143/x
  3. Step 3: Cross multiply
    97,014x = 145,143 × 145,143
  4. Step 4: Simplify right side
    97,014x = 21,066,490,449
  5. Step 5: Solve for x
    x = 21,066,490,449/97,014
  6. Step 6: Final answer
    x = 217,148.97

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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.