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Finding the Third Proportional to 124,894 and 190,470

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Solution

The third proportional to 124,894 and 190,470 is: 290,476.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,894 : 190,470 = 190,470 : x
  2. Step 2: Convert to fraction form
    124,894/190,470 = 190,470/x
  3. Step 3: Cross multiply
    124,894x = 190,470 × 190,470
  4. Step 4: Simplify right side
    124,894x = 36,278,820,900
  5. Step 5: Solve for x
    x = 36,278,820,900/124,894
  6. Step 6: Final answer
    x = 290,476.89

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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.