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Finding the Third Proportional to 60,329.50 and 128,669

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Solution

The third proportional to 60,329.50 and 128,669 is: 274,421.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,329.50 : 128,669 = 128,669 : x
  2. Step 2: Convert to fraction form
    60,329.50/128,669 = 128,669/x
  3. Step 3: Cross multiply
    60,329.50x = 128,669 × 128,669
  4. Step 4: Simplify right side
    60,329.50x = 16,555,711,561
  5. Step 5: Solve for x
    x = 16,555,711,561/60,329.50
  6. Step 6: Final answer
    x = 274,421.49

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.