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Finding the Third Proportional to 74,117.25 and 164,812.50

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Solution

The third proportional to 74,117.25 and 164,812.50 is: 366,489.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,117.25 : 164,812.50 = 164,812.50 : x
  2. Step 2: Convert to fraction form
    74,117.25/164,812.50 = 164,812.50/x
  3. Step 3: Cross multiply
    74,117.25x = 164,812.50 × 164,812.50
  4. Step 4: Simplify right side
    74,117.25x = 27,163,160,156.25
  5. Step 5: Solve for x
    x = 27,163,160,156.25/74,117.25
  6. Step 6: Final answer
    x = 366,489.04

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.