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Finding the Third Proportional to 115,203 and 164,740.50

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Solution

The third proportional to 115,203 and 164,740.50 is: 235,579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,203 : 164,740.50 = 164,740.50 : x
  2. Step 2: Convert to fraction form
    115,203/164,740.50 = 164,740.50/x
  3. Step 3: Cross multiply
    115,203x = 164,740.50 × 164,740.50
  4. Step 4: Simplify right side
    115,203x = 27,139,432,340.25
  5. Step 5: Solve for x
    x = 27,139,432,340.25/115,203
  6. Step 6: Final answer
    x = 235,579.22

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.