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Finding the Third Proportional to 61,206 and 93,630

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Solution

The third proportional to 61,206 and 93,630 is: 143,230.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,206 : 93,630 = 93,630 : x
  2. Step 2: Convert to fraction form
    61,206/93,630 = 93,630/x
  3. Step 3: Cross multiply
    61,206x = 93,630 × 93,630
  4. Step 4: Simplify right side
    61,206x = 8,766,576,900
  5. Step 5: Solve for x
    x = 8,766,576,900/61,206
  6. Step 6: Final answer
    x = 143,230.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.