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Finding the Third Proportional to 62,576 and 92,202

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Solution

The third proportional to 62,576 and 92,202 is: 135,854.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,576 : 92,202 = 92,202 : x
  2. Step 2: Convert to fraction form
    62,576/92,202 = 92,202/x
  3. Step 3: Cross multiply
    62,576x = 92,202 × 92,202
  4. Step 4: Simplify right side
    62,576x = 8,501,208,804
  5. Step 5: Solve for x
    x = 8,501,208,804/62,576
  6. Step 6: Final answer
    x = 135,854.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.