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Finding the Third Proportional to 68,445 and 101,668.50

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Solution

The third proportional to 68,445 and 101,668.50 is: 151,018.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,445 : 101,668.50 = 101,668.50 : x
  2. Step 2: Convert to fraction form
    68,445/101,668.50 = 101,668.50/x
  3. Step 3: Cross multiply
    68,445x = 101,668.50 × 101,668.50
  4. Step 4: Simplify right side
    68,445x = 10,336,483,892.25
  5. Step 5: Solve for x
    x = 10,336,483,892.25/68,445
  6. Step 6: Final answer
    x = 151,018.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.