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Finding the Third Proportional to 42,935.06 and 94,139.72

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Solution

The third proportional to 42,935.06 and 94,139.72 is: 206,411.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,935.06 : 94,139.72 = 94,139.72 : x
  2. Step 2: Convert to fraction form
    42,935.06/94,139.72 = 94,139.72/x
  3. Step 3: Cross multiply
    42,935.06x = 94,139.72 × 94,139.72
  4. Step 4: Simplify right side
    42,935.06x = 8,862,286,646.33
  5. Step 5: Solve for x
    x = 8,862,286,646.33/42,935.06
  6. Step 6: Final answer
    x = 206,411.41

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.