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Finding the Third Proportional to 60,354 and 130,419

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Solution

The third proportional to 60,354 and 130,419 is: 281,822.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,354 : 130,419 = 130,419 : x
  2. Step 2: Convert to fraction form
    60,354/130,419 = 130,419/x
  3. Step 3: Cross multiply
    60,354x = 130,419 × 130,419
  4. Step 4: Simplify right side
    60,354x = 17,009,115,561
  5. Step 5: Solve for x
    x = 17,009,115,561/60,354
  6. Step 6: Final answer
    x = 281,822.51

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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.