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Finding the Third Proportional to 101,952 and 157,472

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Solution

The third proportional to 101,952 and 157,472 is: 243,226.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,952 : 157,472 = 157,472 : x
  2. Step 2: Convert to fraction form
    101,952/157,472 = 157,472/x
  3. Step 3: Cross multiply
    101,952x = 157,472 × 157,472
  4. Step 4: Simplify right side
    101,952x = 24,797,430,784
  5. Step 5: Solve for x
    x = 24,797,430,784/101,952
  6. Step 6: Final answer
    x = 243,226.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.