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Finding the Third Proportional to 61,386 and 134,483

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Solution

The third proportional to 61,386 and 134,483 is: 294,622.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,386 : 134,483 = 134,483 : x
  2. Step 2: Convert to fraction form
    61,386/134,483 = 134,483/x
  3. Step 3: Cross multiply
    61,386x = 134,483 × 134,483
  4. Step 4: Simplify right side
    61,386x = 18,085,677,289
  5. Step 5: Solve for x
    x = 18,085,677,289/61,386
  6. Step 6: Final answer
    x = 294,622.18

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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.