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Finding the Third Proportional to 43,232 and 79,360

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Solution

The third proportional to 43,232 and 79,360 is: 145,679.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,232 : 79,360 = 79,360 : x
  2. Step 2: Convert to fraction form
    43,232/79,360 = 79,360/x
  3. Step 3: Cross multiply
    43,232x = 79,360 × 79,360
  4. Step 4: Simplify right side
    43,232x = 6,298,009,600
  5. Step 5: Solve for x
    x = 6,298,009,600/43,232
  6. Step 6: Final answer
    x = 145,679.35

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.