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Finding the Third Proportional to 107,562 and 157,533

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Solution

The third proportional to 107,562 and 157,533 is: 230,719.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,562 : 157,533 = 157,533 : x
  2. Step 2: Convert to fraction form
    107,562/157,533 = 157,533/x
  3. Step 3: Cross multiply
    107,562x = 157,533 × 157,533
  4. Step 4: Simplify right side
    107,562x = 24,816,646,089
  5. Step 5: Solve for x
    x = 24,816,646,089/107,562
  6. Step 6: Final answer
    x = 230,719.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.