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Finding the Third Proportional to 62,701 and 92,046

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Solution

The third proportional to 62,701 and 92,046 is: 135,124.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,701 : 92,046 = 92,046 : x
  2. Step 2: Convert to fraction form
    62,701/92,046 = 92,046/x
  3. Step 3: Cross multiply
    62,701x = 92,046 × 92,046
  4. Step 4: Simplify right side
    62,701x = 8,472,466,116
  5. Step 5: Solve for x
    x = 8,472,466,116/62,701
  6. Step 6: Final answer
    x = 135,124.90

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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.