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Finding the Third Proportional to 83,526 and 120,681

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Solution

The third proportional to 83,526 and 120,681 is: 174,363.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,526 : 120,681 = 120,681 : x
  2. Step 2: Convert to fraction form
    83,526/120,681 = 120,681/x
  3. Step 3: Cross multiply
    83,526x = 120,681 × 120,681
  4. Step 4: Simplify right side
    83,526x = 14,563,903,761
  5. Step 5: Solve for x
    x = 14,563,903,761/83,526
  6. Step 6: Final answer
    x = 174,363.72

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.