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Finding the Third Proportional to 103,413 and 151,014

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Solution

The third proportional to 103,413 and 151,014 is: 220,525.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,413 : 151,014 = 151,014 : x
  2. Step 2: Convert to fraction form
    103,413/151,014 = 151,014/x
  3. Step 3: Cross multiply
    103,413x = 151,014 × 151,014
  4. Step 4: Simplify right side
    103,413x = 22,805,228,196
  5. Step 5: Solve for x
    x = 22,805,228,196/103,413
  6. Step 6: Final answer
    x = 220,525.74

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.