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Finding the Third Proportional to 61,575 and 132,567

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Solution

The third proportional to 61,575 and 132,567 is: 285,408.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,575 : 132,567 = 132,567 : x
  2. Step 2: Convert to fraction form
    61,575/132,567 = 132,567/x
  3. Step 3: Cross multiply
    61,575x = 132,567 × 132,567
  4. Step 4: Simplify right side
    61,575x = 17,574,009,489
  5. Step 5: Solve for x
    x = 17,574,009,489/61,575
  6. Step 6: Final answer
    x = 285,408.19

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.