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Finding the Third Proportional to 76,824 and 103,332

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Solution

The third proportional to 76,824 and 103,332 is: 138,986.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,824 : 103,332 = 103,332 : x
  2. Step 2: Convert to fraction form
    76,824/103,332 = 103,332/x
  3. Step 3: Cross multiply
    76,824x = 103,332 × 103,332
  4. Step 4: Simplify right side
    76,824x = 10,677,502,224
  5. Step 5: Solve for x
    x = 10,677,502,224/76,824
  6. Step 6: Final answer
    x = 138,986.54

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Why These Related Problems?

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