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Finding the Third Proportional to 77,598 and 144,119.25

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Solution

The third proportional to 77,598 and 144,119.25 is: 267,666.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,598 : 144,119.25 = 144,119.25 : x
  2. Step 2: Convert to fraction form
    77,598/144,119.25 = 144,119.25/x
  3. Step 3: Cross multiply
    77,598x = 144,119.25 × 144,119.25
  4. Step 4: Simplify right side
    77,598x = 20,770,358,220.56
  5. Step 5: Solve for x
    x = 20,770,358,220.56/77,598
  6. Step 6: Final answer
    x = 267,666.15

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Why These Related Problems?

These problems maintain the same ratio (1.86) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.