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Finding the Third Proportional to 57,970.13 and 92,215.13

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Solution

The third proportional to 57,970.13 and 92,215.13 is: 146,689.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,970.13 : 92,215.13 = 92,215.13 : x
  2. Step 2: Convert to fraction form
    57,970.13/92,215.13 = 92,215.13/x
  3. Step 3: Cross multiply
    57,970.13x = 92,215.13 × 92,215.13
  4. Step 4: Simplify right side
    57,970.13x = 8,503,629,278.77
  5. Step 5: Solve for x
    x = 8,503,629,278.77/57,970.13
  6. Step 6: Final answer
    x = 146,689.86

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.