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Finding the Third Proportional to 59,184 and 129,324

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Solution

The third proportional to 59,184 and 129,324 is: 282,588.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,184 : 129,324 = 129,324 : x
  2. Step 2: Convert to fraction form
    59,184/129,324 = 129,324/x
  3. Step 3: Cross multiply
    59,184x = 129,324 × 129,324
  4. Step 4: Simplify right side
    59,184x = 16,724,696,976
  5. Step 5: Solve for x
    x = 16,724,696,976/59,184
  6. Step 6: Final answer
    x = 282,588.15

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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.