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Finding the Third Proportional to 59,148 and 129,264

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Solution

The third proportional to 59,148 and 129,264 is: 282,497.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,148 : 129,264 = 129,264 : x
  2. Step 2: Convert to fraction form
    59,148/129,264 = 129,264/x
  3. Step 3: Cross multiply
    59,148x = 129,264 × 129,264
  4. Step 4: Simplify right side
    59,148x = 16,709,181,696
  5. Step 5: Solve for x
    x = 16,709,181,696/59,148
  6. Step 6: Final answer
    x = 282,497.83

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.