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Finding the Third Proportional to 102,248 and 157,932

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Solution

The third proportional to 102,248 and 157,932 is: 243,941.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,248 : 157,932 = 157,932 : x
  2. Step 2: Convert to fraction form
    102,248/157,932 = 157,932/x
  3. Step 3: Cross multiply
    102,248x = 157,932 × 157,932
  4. Step 4: Simplify right side
    102,248x = 24,942,516,624
  5. Step 5: Solve for x
    x = 24,942,516,624/102,248
  6. Step 6: Final answer
    x = 243,941.36

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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.