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Finding the Third Proportional to 59,154 and 129,235

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Solution

The third proportional to 59,154 and 129,235 is: 282,342.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,154 : 129,235 = 129,235 : x
  2. Step 2: Convert to fraction form
    59,154/129,235 = 129,235/x
  3. Step 3: Cross multiply
    59,154x = 129,235 × 129,235
  4. Step 4: Simplify right side
    59,154x = 16,701,685,225
  5. Step 5: Solve for x
    x = 16,701,685,225/59,154
  6. Step 6: Final answer
    x = 282,342.45

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.