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Finding the Third Proportional to 62,214 and 97,209

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Solution

The third proportional to 62,214 and 97,209 is: 151,888.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,214 : 97,209 = 97,209 : x
  2. Step 2: Convert to fraction form
    62,214/97,209 = 97,209/x
  3. Step 3: Cross multiply
    62,214x = 97,209 × 97,209
  4. Step 4: Simplify right side
    62,214x = 9,449,589,681
  5. Step 5: Solve for x
    x = 9,449,589,681/62,214
  6. Step 6: Final answer
    x = 151,888.48

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.