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Finding the Third Proportional to 42,356.95 and 89,082.07

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Solution

The third proportional to 42,356.95 and 89,082.07 is: 187,350.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,356.95 : 89,082.07 = 89,082.07 : x
  2. Step 2: Convert to fraction form
    42,356.95/89,082.07 = 89,082.07/x
  3. Step 3: Cross multiply
    42,356.95x = 89,082.07 × 89,082.07
  4. Step 4: Simplify right side
    42,356.95x = 7,935,615,251.16
  5. Step 5: Solve for x
    x = 7,935,615,251.16/42,356.95
  6. Step 6: Final answer
    x = 187,350.95

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.