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Finding the Third Proportional to 103,790 and 160,527

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Solution

The third proportional to 103,790 and 160,527 is: 248,279.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,790 : 160,527 = 160,527 : x
  2. Step 2: Convert to fraction form
    103,790/160,527 = 160,527/x
  3. Step 3: Cross multiply
    103,790x = 160,527 × 160,527
  4. Step 4: Simplify right side
    103,790x = 25,768,917,729
  5. Step 5: Solve for x
    x = 25,768,917,729/103,790
  6. Step 6: Final answer
    x = 248,279.39

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.