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Finding the Third Proportional to 115,708.50 and 174,798

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Solution

The third proportional to 115,708.50 and 174,798 is: 264,063.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,708.50 : 174,798 = 174,798 : x
  2. Step 2: Convert to fraction form
    115,708.50/174,798 = 174,798/x
  3. Step 3: Cross multiply
    115,708.50x = 174,798 × 174,798
  4. Step 4: Simplify right side
    115,708.50x = 30,554,340,804
  5. Step 5: Solve for x
    x = 30,554,340,804/115,708.50
  6. Step 6: Final answer
    x = 264,063.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.