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Finding the Third Proportional to 57,702.38 and 91,292.63

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Solution

The third proportional to 57,702.38 and 91,292.63 is: 144,436.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,702.38 : 91,292.63 = 91,292.63 : x
  2. Step 2: Convert to fraction form
    57,702.38/91,292.63 = 91,292.63/x
  3. Step 3: Cross multiply
    57,702.38x = 91,292.63 × 91,292.63
  4. Step 4: Simplify right side
    57,702.38x = 8,334,343,379.39
  5. Step 5: Solve for x
    x = 8,334,343,379.39/57,702.38
  6. Step 6: Final answer
    x = 144,436.75

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.