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Finding the Third Proportional to 51,358 and 112,784

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Solution

The third proportional to 51,358 and 112,784 is: 247,677.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,358 : 112,784 = 112,784 : x
  2. Step 2: Convert to fraction form
    51,358/112,784 = 112,784/x
  3. Step 3: Cross multiply
    51,358x = 112,784 × 112,784
  4. Step 4: Simplify right side
    51,358x = 12,720,230,656
  5. Step 5: Solve for x
    x = 12,720,230,656/51,358
  6. Step 6: Final answer
    x = 247,677.69

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.