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Finding the Third Proportional to 59,322 and 128,724

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Solution

The third proportional to 59,322 and 128,724 is: 279,320.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,322 : 128,724 = 128,724 : x
  2. Step 2: Convert to fraction form
    59,322/128,724 = 128,724/x
  3. Step 3: Cross multiply
    59,322x = 128,724 × 128,724
  4. Step 4: Simplify right side
    59,322x = 16,569,868,176
  5. Step 5: Solve for x
    x = 16,569,868,176/59,322
  6. Step 6: Final answer
    x = 279,320.79

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.