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Finding the Third Proportional to 116,250.19 and 164,539.69

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Solution

The third proportional to 116,250.19 and 164,539.69 is: 232,888.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,250.19 : 164,539.69 = 164,539.69 : x
  2. Step 2: Convert to fraction form
    116,250.19/164,539.69 = 164,539.69/x
  3. Step 3: Cross multiply
    116,250.19x = 164,539.69 × 164,539.69
  4. Step 4: Simplify right side
    116,250.19x = 27,073,308,762.60
  5. Step 5: Solve for x
    x = 27,073,308,762.60/116,250.19
  6. Step 6: Final answer
    x = 232,888.30

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.