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Finding the Third Proportional to 51,800.63 and 112,970.25

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Solution

The third proportional to 51,800.63 and 112,970.25 is: 246,373.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,800.63 : 112,970.25 = 112,970.25 : x
  2. Step 2: Convert to fraction form
    51,800.63/112,970.25 = 112,970.25/x
  3. Step 3: Cross multiply
    51,800.63x = 112,970.25 × 112,970.25
  4. Step 4: Simplify right side
    51,800.63x = 12,762,277,385.06
  5. Step 5: Solve for x
    x = 12,762,277,385.06/51,800.63
  6. Step 6: Final answer
    x = 246,373.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.