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Finding the Third Proportional to 63,232 and 97,900

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Solution

The third proportional to 63,232 and 97,900 is: 151,575.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,232 : 97,900 = 97,900 : x
  2. Step 2: Convert to fraction form
    63,232/97,900 = 97,900/x
  3. Step 3: Cross multiply
    63,232x = 97,900 × 97,900
  4. Step 4: Simplify right side
    63,232x = 9,584,410,000
  5. Step 5: Solve for x
    x = 9,584,410,000/63,232
  6. Step 6: Final answer
    x = 151,575.31

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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.