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Finding the Third Proportional to 101,139.75 and 145,688.63

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Solution

The third proportional to 101,139.75 and 145,688.63 is: 209,859.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,139.75 : 145,688.63 = 145,688.63 : x
  2. Step 2: Convert to fraction form
    101,139.75/145,688.63 = 145,688.63/x
  3. Step 3: Cross multiply
    101,139.75x = 145,688.63 × 145,688.63
  4. Step 4: Simplify right side
    101,139.75x = 21,225,175,454.39
  5. Step 5: Solve for x
    x = 21,225,175,454.39/101,139.75
  6. Step 6: Final answer
    x = 209,859.88

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.