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Finding the Third Proportional to 77,514 and 109,712

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Solution

The third proportional to 77,514 and 109,712 is: 155,284.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,514 : 109,712 = 109,712 : x
  2. Step 2: Convert to fraction form
    77,514/109,712 = 109,712/x
  3. Step 3: Cross multiply
    77,514x = 109,712 × 109,712
  4. Step 4: Simplify right side
    77,514x = 12,036,722,944
  5. Step 5: Solve for x
    x = 12,036,722,944/77,514
  6. Step 6: Final answer
    x = 155,284.50

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.