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Finding the Third Proportional to 103,521 and 145,741.50

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Solution

The third proportional to 103,521 and 145,741.50 is: 205,181.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,521 : 145,741.50 = 145,741.50 : x
  2. Step 2: Convert to fraction form
    103,521/145,741.50 = 145,741.50/x
  3. Step 3: Cross multiply
    103,521x = 145,741.50 × 145,741.50
  4. Step 4: Simplify right side
    103,521x = 21,240,584,822.25
  5. Step 5: Solve for x
    x = 21,240,584,822.25/103,521
  6. Step 6: Final answer
    x = 205,181.41

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.