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Finding the Third Proportional to 103,462 and 160,720

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Solution

The third proportional to 103,462 and 160,720 is: 249,665.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,462 : 160,720 = 160,720 : x
  2. Step 2: Convert to fraction form
    103,462/160,720 = 160,720/x
  3. Step 3: Cross multiply
    103,462x = 160,720 × 160,720
  4. Step 4: Simplify right side
    103,462x = 25,830,918,400
  5. Step 5: Solve for x
    x = 25,830,918,400/103,462
  6. Step 6: Final answer
    x = 249,665.76

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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.