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Finding the Third Proportional to 61,030 and 92,406

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Solution

The third proportional to 61,030 and 92,406 is: 139,912.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,030 : 92,406 = 92,406 : x
  2. Step 2: Convert to fraction form
    61,030/92,406 = 92,406/x
  3. Step 3: Cross multiply
    61,030x = 92,406 × 92,406
  4. Step 4: Simplify right side
    61,030x = 8,538,868,836
  5. Step 5: Solve for x
    x = 8,538,868,836/61,030
  6. Step 6: Final answer
    x = 139,912.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.