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Finding the Third Proportional to 63,089 and 97,671

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Solution

The third proportional to 63,089 and 97,671 is: 151,208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,089 : 97,671 = 97,671 : x
  2. Step 2: Convert to fraction form
    63,089/97,671 = 97,671/x
  3. Step 3: Cross multiply
    63,089x = 97,671 × 97,671
  4. Step 4: Simplify right side
    63,089x = 9,539,624,241
  5. Step 5: Solve for x
    x = 9,539,624,241/63,089
  6. Step 6: Final answer
    x = 151,208.99

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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.