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Finding the Third Proportional to 103,776 and 160,992

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Solution

The third proportional to 103,776 and 160,992 is: 249,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,776 : 160,992 = 160,992 : x
  2. Step 2: Convert to fraction form
    103,776/160,992 = 160,992/x
  3. Step 3: Cross multiply
    103,776x = 160,992 × 160,992
  4. Step 4: Simplify right side
    103,776x = 25,918,424,064
  5. Step 5: Solve for x
    x = 25,918,424,064/103,776
  6. Step 6: Final answer
    x = 249,753.55

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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.