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Finding the Third Proportional to 59,415 and 86,447.25

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Solution

The third proportional to 59,415 and 86,447.25 is: 125,778.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,415 : 86,447.25 = 86,447.25 : x
  2. Step 2: Convert to fraction form
    59,415/86,447.25 = 86,447.25/x
  3. Step 3: Cross multiply
    59,415x = 86,447.25 × 86,447.25
  4. Step 4: Simplify right side
    59,415x = 7,473,127,032.56
  5. Step 5: Solve for x
    x = 7,473,127,032.56/59,415
  6. Step 6: Final answer
    x = 125,778.46

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.