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Finding the Third Proportional to 112,082 and 243,748

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Solution

The third proportional to 112,082 and 243,748 is: 530,085.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,082 : 243,748 = 243,748 : x
  2. Step 2: Convert to fraction form
    112,082/243,748 = 243,748/x
  3. Step 3: Cross multiply
    112,082x = 243,748 × 243,748
  4. Step 4: Simplify right side
    112,082x = 59,413,087,504
  5. Step 5: Solve for x
    x = 59,413,087,504/112,082
  6. Step 6: Final answer
    x = 530,085.90

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.