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Finding the Third Proportional to 86,526 and 129,789

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Solution

The third proportional to 86,526 and 129,789 is: 194,683.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,526 : 129,789 = 129,789 : x
  2. Step 2: Convert to fraction form
    86,526/129,789 = 129,789/x
  3. Step 3: Cross multiply
    86,526x = 129,789 × 129,789
  4. Step 4: Simplify right side
    86,526x = 16,845,184,521
  5. Step 5: Solve for x
    x = 16,845,184,521/86,526
  6. Step 6: Final answer
    x = 194,683.50

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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.