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Finding the Third Proportional to 102,582 and 157,458

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Solution

The third proportional to 102,582 and 157,458 is: 241,689.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,582 : 157,458 = 157,458 : x
  2. Step 2: Convert to fraction form
    102,582/157,458 = 157,458/x
  3. Step 3: Cross multiply
    102,582x = 157,458 × 157,458
  4. Step 4: Simplify right side
    102,582x = 24,793,021,764
  5. Step 5: Solve for x
    x = 24,793,021,764/102,582
  6. Step 6: Final answer
    x = 241,689.79

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.