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Finding the Third Proportional to 77,425 and 109,030

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Solution

The third proportional to 77,425 and 109,030 is: 153,536.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,425 : 109,030 = 109,030 : x
  2. Step 2: Convert to fraction form
    77,425/109,030 = 109,030/x
  3. Step 3: Cross multiply
    77,425x = 109,030 × 109,030
  4. Step 4: Simplify right side
    77,425x = 11,887,540,900
  5. Step 5: Solve for x
    x = 11,887,540,900/77,425
  6. Step 6: Final answer
    x = 153,536.21

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.