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Finding the Third Proportional to 74,475 and 115,033.50

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Solution

The third proportional to 74,475 and 115,033.50 is: 177,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,475 : 115,033.50 = 115,033.50 : x
  2. Step 2: Convert to fraction form
    74,475/115,033.50 = 115,033.50/x
  3. Step 3: Cross multiply
    74,475x = 115,033.50 × 115,033.50
  4. Step 4: Simplify right side
    74,475x = 13,232,706,122.25
  5. Step 5: Solve for x
    x = 13,232,706,122.25/74,475
  6. Step 6: Final answer
    x = 177,679.84

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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.