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Finding the Third Proportional to 61,808 and 70,556

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Solution

The third proportional to 61,808 and 70,556 is: 80,542.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,808 : 70,556 = 70,556 : x
  2. Step 2: Convert to fraction form
    61,808/70,556 = 70,556/x
  3. Step 3: Cross multiply
    61,808x = 70,556 × 70,556
  4. Step 4: Simplify right side
    61,808x = 4,978,149,136
  5. Step 5: Solve for x
    x = 4,978,149,136/61,808
  6. Step 6: Final answer
    x = 80,542.15

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.