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Finding the Third Proportional to 102,384 and 157,948

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Solution

The third proportional to 102,384 and 157,948 is: 243,666.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,384 : 157,948 = 157,948 : x
  2. Step 2: Convert to fraction form
    102,384/157,948 = 157,948/x
  3. Step 3: Cross multiply
    102,384x = 157,948 × 157,948
  4. Step 4: Simplify right side
    102,384x = 24,947,570,704
  5. Step 5: Solve for x
    x = 24,947,570,704/102,384
  6. Step 6: Final answer
    x = 243,666.69

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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.