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Finding the Third Proportional to 86,100 and 129,148

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Solution

The third proportional to 86,100 and 129,148 is: 193,719.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,100 : 129,148 = 129,148 : x
  2. Step 2: Convert to fraction form
    86,100/129,148 = 129,148/x
  3. Step 3: Cross multiply
    86,100x = 129,148 × 129,148
  4. Step 4: Simplify right side
    86,100x = 16,679,205,904
  5. Step 5: Solve for x
    x = 16,679,205,904/86,100
  6. Step 6: Final answer
    x = 193,719.00

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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.