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Finding the Third Proportional to 51,946.75 and 113,746.75

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Solution

The third proportional to 51,946.75 and 113,746.75 is: 249,068.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,946.75 : 113,746.75 = 113,746.75 : x
  2. Step 2: Convert to fraction form
    51,946.75/113,746.75 = 113,746.75/x
  3. Step 3: Cross multiply
    51,946.75x = 113,746.75 × 113,746.75
  4. Step 4: Simplify right side
    51,946.75x = 12,938,323,135.56
  5. Step 5: Solve for x
    x = 12,938,323,135.56/51,946.75
  6. Step 6: Final answer
    x = 249,068.96

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Why These Related Problems?

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