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Finding the Third Proportional to 61,358 and 131,464

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Solution

The third proportional to 61,358 and 131,464 is: 281,671.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,358 : 131,464 = 131,464 : x
  2. Step 2: Convert to fraction form
    61,358/131,464 = 131,464/x
  3. Step 3: Cross multiply
    61,358x = 131,464 × 131,464
  4. Step 4: Simplify right side
    61,358x = 17,282,783,296
  5. Step 5: Solve for x
    x = 17,282,783,296/61,358
  6. Step 6: Final answer
    x = 281,671.23

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.