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Finding the Third Proportional to 77,676 and 116,394

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Solution

The third proportional to 77,676 and 116,394 is: 174,411.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,676 : 116,394 = 116,394 : x
  2. Step 2: Convert to fraction form
    77,676/116,394 = 116,394/x
  3. Step 3: Cross multiply
    77,676x = 116,394 × 116,394
  4. Step 4: Simplify right side
    77,676x = 13,547,563,236
  5. Step 5: Solve for x
    x = 13,547,563,236/77,676
  6. Step 6: Final answer
    x = 174,411.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.