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Finding the Third Proportional to 55,566 and 83,824.88

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Solution

The third proportional to 55,566 and 83,824.88 is: 126,455.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,566 : 83,824.88 = 83,824.88 : x
  2. Step 2: Convert to fraction form
    55,566/83,824.88 = 83,824.88/x
  3. Step 3: Cross multiply
    55,566x = 83,824.88 × 83,824.88
  4. Step 4: Simplify right side
    55,566x = 7,026,609,668.77
  5. Step 5: Solve for x
    x = 7,026,609,668.77/55,566
  6. Step 6: Final answer
    x = 126,455.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.