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Finding the Third Proportional to 103,439 and 147,645.50

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Solution

The third proportional to 103,439 and 147,645.50 is: 210,744.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,439 : 147,645.50 = 147,645.50 : x
  2. Step 2: Convert to fraction form
    103,439/147,645.50 = 147,645.50/x
  3. Step 3: Cross multiply
    103,439x = 147,645.50 × 147,645.50
  4. Step 4: Simplify right side
    103,439x = 21,799,193,670.25
  5. Step 5: Solve for x
    x = 21,799,193,670.25/103,439
  6. Step 6: Final answer
    x = 210,744.44

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.