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Finding the Third Proportional to 59,732 and 130,408

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Solution

The third proportional to 59,732 and 130,408 is: 284,709.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,732 : 130,408 = 130,408 : x
  2. Step 2: Convert to fraction form
    59,732/130,408 = 130,408/x
  3. Step 3: Cross multiply
    59,732x = 130,408 × 130,408
  4. Step 4: Simplify right side
    59,732x = 17,006,246,464
  5. Step 5: Solve for x
    x = 17,006,246,464/59,732
  6. Step 6: Final answer
    x = 284,709.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.