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Finding the Third Proportional to 102,713.06 and 144,220.50

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Solution

The third proportional to 102,713.06 and 144,220.50 is: 202,501.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,713.06 : 144,220.50 = 144,220.50 : x
  2. Step 2: Convert to fraction form
    102,713.06/144,220.50 = 144,220.50/x
  3. Step 3: Cross multiply
    102,713.06x = 144,220.50 × 144,220.50
  4. Step 4: Simplify right side
    102,713.06x = 20,799,552,620.25
  5. Step 5: Solve for x
    x = 20,799,552,620.25/102,713.06
  6. Step 6: Final answer
    x = 202,501.53

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.