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Finding the Third Proportional to 60,322 and 130,573

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Solution

The third proportional to 60,322 and 130,573 is: 282,638.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,322 : 130,573 = 130,573 : x
  2. Step 2: Convert to fraction form
    60,322/130,573 = 130,573/x
  3. Step 3: Cross multiply
    60,322x = 130,573 × 130,573
  4. Step 4: Simplify right side
    60,322x = 17,049,308,329
  5. Step 5: Solve for x
    x = 17,049,308,329/60,322
  6. Step 6: Final answer
    x = 282,638.31

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.