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Finding the Third Proportional to 115,047 and 174,352.50

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Solution

The third proportional to 115,047 and 174,352.50 is: 264,229.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,047 : 174,352.50 = 174,352.50 : x
  2. Step 2: Convert to fraction form
    115,047/174,352.50 = 174,352.50/x
  3. Step 3: Cross multiply
    115,047x = 174,352.50 × 174,352.50
  4. Step 4: Simplify right side
    115,047x = 30,398,794,256.25
  5. Step 5: Solve for x
    x = 30,398,794,256.25/115,047
  6. Step 6: Final answer
    x = 264,229.35

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.