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Finding the Third Proportional to 61,408 and 134,506

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Solution

The third proportional to 61,408 and 134,506 is: 294,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,408 : 134,506 = 134,506 : x
  2. Step 2: Convert to fraction form
    61,408/134,506 = 134,506/x
  3. Step 3: Cross multiply
    61,408x = 134,506 × 134,506
  4. Step 4: Simplify right side
    61,408x = 18,091,864,036
  5. Step 5: Solve for x
    x = 18,091,864,036/61,408
  6. Step 6: Final answer
    x = 294,617.38

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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.