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Finding the Third Proportional to 115,693 and 174,995.50

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Solution

The third proportional to 115,693 and 174,995.50 is: 264,695.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,693 : 174,995.50 = 174,995.50 : x
  2. Step 2: Convert to fraction form
    115,693/174,995.50 = 174,995.50/x
  3. Step 3: Cross multiply
    115,693x = 174,995.50 × 174,995.50
  4. Step 4: Simplify right side
    115,693x = 30,623,425,020.25
  5. Step 5: Solve for x
    x = 30,623,425,020.25/115,693
  6. Step 6: Final answer
    x = 264,695.57

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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.