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Finding the Third Proportional to 75,127.50 and 157,545

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Solution

The third proportional to 75,127.50 and 157,545 is: 330,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,127.50 : 157,545 = 157,545 : x
  2. Step 2: Convert to fraction form
    75,127.50/157,545 = 157,545/x
  3. Step 3: Cross multiply
    75,127.50x = 157,545 × 157,545
  4. Step 4: Simplify right side
    75,127.50x = 24,820,427,025
  5. Step 5: Solve for x
    x = 24,820,427,025/75,127.50
  6. Step 6: Final answer
    x = 330,377.39

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.