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Finding the Third Proportional to 57,294 and 115,357.50

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Solution

The third proportional to 57,294 and 115,357.50 is: 232,264.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,294 : 115,357.50 = 115,357.50 : x
  2. Step 2: Convert to fraction form
    57,294/115,357.50 = 115,357.50/x
  3. Step 3: Cross multiply
    57,294x = 115,357.50 × 115,357.50
  4. Step 4: Simplify right side
    57,294x = 13,307,352,806.25
  5. Step 5: Solve for x
    x = 13,307,352,806.25/57,294
  6. Step 6: Final answer
    x = 232,264.33

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.