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Finding the Third Proportional to 61,410 and 132,237

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Solution

The third proportional to 61,410 and 132,237 is: 284,752.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,410 : 132,237 = 132,237 : x
  2. Step 2: Convert to fraction form
    61,410/132,237 = 132,237/x
  3. Step 3: Cross multiply
    61,410x = 132,237 × 132,237
  4. Step 4: Simplify right side
    61,410x = 17,486,624,169
  5. Step 5: Solve for x
    x = 17,486,624,169/61,410
  6. Step 6: Final answer
    x = 284,752.06

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.