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Finding the Third Proportional to 70,824 and 110,532

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Solution

The third proportional to 70,824 and 110,532 is: 172,502.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,824 : 110,532 = 110,532 : x
  2. Step 2: Convert to fraction form
    70,824/110,532 = 110,532/x
  3. Step 3: Cross multiply
    70,824x = 110,532 × 110,532
  4. Step 4: Simplify right side
    70,824x = 12,217,323,024
  5. Step 5: Solve for x
    x = 12,217,323,024/70,824
  6. Step 6: Final answer
    x = 172,502.58

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.