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Finding the Third Proportional to 58,908 and 88,168

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Solution

The third proportional to 58,908 and 88,168 is: 131,961.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,908 : 88,168 = 88,168 : x
  2. Step 2: Convert to fraction form
    58,908/88,168 = 88,168/x
  3. Step 3: Cross multiply
    58,908x = 88,168 × 88,168
  4. Step 4: Simplify right side
    58,908x = 7,773,596,224
  5. Step 5: Solve for x
    x = 7,773,596,224/58,908
  6. Step 6: Final answer
    x = 131,961.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.