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Finding the Third Proportional to 76,596 and 117,708

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Solution

The third proportional to 76,596 and 117,708 is: 180,886.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,596 : 117,708 = 117,708 : x
  2. Step 2: Convert to fraction form
    76,596/117,708 = 117,708/x
  3. Step 3: Cross multiply
    76,596x = 117,708 × 117,708
  4. Step 4: Simplify right side
    76,596x = 13,855,173,264
  5. Step 5: Solve for x
    x = 13,855,173,264/76,596
  6. Step 6: Final answer
    x = 180,886.38

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.