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Finding the Third Proportional to 102,364 and 157,920

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Solution

The third proportional to 102,364 and 157,920 is: 243,627.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,364 : 157,920 = 157,920 : x
  2. Step 2: Convert to fraction form
    102,364/157,920 = 157,920/x
  3. Step 3: Cross multiply
    102,364x = 157,920 × 157,920
  4. Step 4: Simplify right side
    102,364x = 24,938,726,400
  5. Step 5: Solve for x
    x = 24,938,726,400/102,364
  6. Step 6: Final answer
    x = 243,627.90

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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.