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Finding the Third Proportional to 77,706 and 116,080

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Solution

The third proportional to 77,706 and 116,080 is: 173,404.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,706 : 116,080 = 116,080 : x
  2. Step 2: Convert to fraction form
    77,706/116,080 = 116,080/x
  3. Step 3: Cross multiply
    77,706x = 116,080 × 116,080
  4. Step 4: Simplify right side
    77,706x = 13,474,566,400
  5. Step 5: Solve for x
    x = 13,474,566,400/77,706
  6. Step 6: Final answer
    x = 173,404.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.