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Finding the Third Proportional to 75,127.50 and 115,526.25

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Solution

The third proportional to 75,127.50 and 115,526.25 is: 177,648.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,127.50 : 115,526.25 = 115,526.25 : x
  2. Step 2: Convert to fraction form
    75,127.50/115,526.25 = 115,526.25/x
  3. Step 3: Cross multiply
    75,127.50x = 115,526.25 × 115,526.25
  4. Step 4: Simplify right side
    75,127.50x = 13,346,314,439.06
  5. Step 5: Solve for x
    x = 13,346,314,439.06/75,127.50
  6. Step 6: Final answer
    x = 177,648.86

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.