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Finding the Third Proportional to 86,468 and 129,701

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Solution

The third proportional to 86,468 and 129,701 is: 194,550.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,468 : 129,701 = 129,701 : x
  2. Step 2: Convert to fraction form
    86,468/129,701 = 129,701/x
  3. Step 3: Cross multiply
    86,468x = 129,701 × 129,701
  4. Step 4: Simplify right side
    86,468x = 16,822,349,401
  5. Step 5: Solve for x
    x = 16,822,349,401/86,468
  6. Step 6: Final answer
    x = 194,550.00

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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.