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Finding the Third Proportional to 103,712 and 160,140

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Solution

The third proportional to 103,712 and 160,140 is: 247,269.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,712 : 160,140 = 160,140 : x
  2. Step 2: Convert to fraction form
    103,712/160,140 = 160,140/x
  3. Step 3: Cross multiply
    103,712x = 160,140 × 160,140
  4. Step 4: Simplify right side
    103,712x = 25,644,819,600
  5. Step 5: Solve for x
    x = 25,644,819,600/103,712
  6. Step 6: Final answer
    x = 247,269.55

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.