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Finding the Third Proportional to 144,301.50 and 164,389.50

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Solution

The third proportional to 144,301.50 and 164,389.50 is: 187,273.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,301.50 : 164,389.50 = 164,389.50 : x
  2. Step 2: Convert to fraction form
    144,301.50/164,389.50 = 164,389.50/x
  3. Step 3: Cross multiply
    144,301.50x = 164,389.50 × 164,389.50
  4. Step 4: Simplify right side
    144,301.50x = 27,023,907,710.25
  5. Step 5: Solve for x
    x = 27,023,907,710.25/144,301.50
  6. Step 6: Final answer
    x = 187,273.92

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These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.