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Finding the Third Proportional to 62,176 and 135,386

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Solution

The third proportional to 62,176 and 135,386 is: 294,798.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,176 : 135,386 = 135,386 : x
  2. Step 2: Convert to fraction form
    62,176/135,386 = 135,386/x
  3. Step 3: Cross multiply
    62,176x = 135,386 × 135,386
  4. Step 4: Simplify right side
    62,176x = 18,329,368,996
  5. Step 5: Solve for x
    x = 18,329,368,996/62,176
  6. Step 6: Final answer
    x = 294,798.14

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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.