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Finding the Third Proportional to 84,481 and 114,034

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Solution

The third proportional to 84,481 and 114,034 is: 153,925.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,481 : 114,034 = 114,034 : x
  2. Step 2: Convert to fraction form
    84,481/114,034 = 114,034/x
  3. Step 3: Cross multiply
    84,481x = 114,034 × 114,034
  4. Step 4: Simplify right side
    84,481x = 13,003,753,156
  5. Step 5: Solve for x
    x = 13,003,753,156/84,481
  6. Step 6: Final answer
    x = 153,925.18

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.