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Finding the Third Proportional to 53,187 and 78,730.50

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Solution

The third proportional to 53,187 and 78,730.50 is: 116,541.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,187 : 78,730.50 = 78,730.50 : x
  2. Step 2: Convert to fraction form
    53,187/78,730.50 = 78,730.50/x
  3. Step 3: Cross multiply
    53,187x = 78,730.50 × 78,730.50
  4. Step 4: Simplify right side
    53,187x = 6,198,491,630.25
  5. Step 5: Solve for x
    x = 6,198,491,630.25/53,187
  6. Step 6: Final answer
    x = 116,541.48

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.