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Finding the Third Proportional to 75,159 and 115,564.50

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Solution

The third proportional to 75,159 and 115,564.50 is: 177,692.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,159 : 115,564.50 = 115,564.50 : x
  2. Step 2: Convert to fraction form
    75,159/115,564.50 = 115,564.50/x
  3. Step 3: Cross multiply
    75,159x = 115,564.50 × 115,564.50
  4. Step 4: Simplify right side
    75,159x = 13,355,153,660.25
  5. Step 5: Solve for x
    x = 13,355,153,660.25/75,159
  6. Step 6: Final answer
    x = 177,692.01

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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.