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Finding the Third Proportional to 145,629 and 195,571.13

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Solution

The third proportional to 145,629 and 195,571.13 is: 262,640.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,629 : 195,571.13 = 195,571.13 : x
  2. Step 2: Convert to fraction form
    145,629/195,571.13 = 195,571.13/x
  3. Step 3: Cross multiply
    145,629x = 195,571.13 × 195,571.13
  4. Step 4: Simplify right side
    145,629x = 38,248,064,933.77
  5. Step 5: Solve for x
    x = 38,248,064,933.77/145,629
  6. Step 6: Final answer
    x = 262,640.44

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.