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Finding the Third Proportional to 63,425 and 97,527

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Solution

The third proportional to 63,425 and 97,527 is: 149,964.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,425 : 97,527 = 97,527 : x
  2. Step 2: Convert to fraction form
    63,425/97,527 = 97,527/x
  3. Step 3: Cross multiply
    63,425x = 97,527 × 97,527
  4. Step 4: Simplify right side
    63,425x = 9,511,515,729
  5. Step 5: Solve for x
    x = 9,511,515,729/63,425
  6. Step 6: Final answer
    x = 149,964.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.