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Finding the Third Proportional to 58,468 and 88,094

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Solution

The third proportional to 58,468 and 88,094 is: 132,731.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,468 : 88,094 = 88,094 : x
  2. Step 2: Convert to fraction form
    58,468/88,094 = 88,094/x
  3. Step 3: Cross multiply
    58,468x = 88,094 × 88,094
  4. Step 4: Simplify right side
    58,468x = 7,760,552,836
  5. Step 5: Solve for x
    x = 7,760,552,836/58,468
  6. Step 6: Final answer
    x = 132,731.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.