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Finding the Third Proportional to 61,618 and 89,025

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Solution

The third proportional to 61,618 and 89,025 is: 128,622.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,618 : 89,025 = 89,025 : x
  2. Step 2: Convert to fraction form
    61,618/89,025 = 89,025/x
  3. Step 3: Cross multiply
    61,618x = 89,025 × 89,025
  4. Step 4: Simplify right side
    61,618x = 7,925,450,625
  5. Step 5: Solve for x
    x = 7,925,450,625/61,618
  6. Step 6: Final answer
    x = 128,622.33

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.