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Finding the Third Proportional to 80,526 and 118,421

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Solution

The third proportional to 80,526 and 118,421 is: 174,149.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,526 : 118,421 = 118,421 : x
  2. Step 2: Convert to fraction form
    80,526/118,421 = 118,421/x
  3. Step 3: Cross multiply
    80,526x = 118,421 × 118,421
  4. Step 4: Simplify right side
    80,526x = 14,023,533,241
  5. Step 5: Solve for x
    x = 14,023,533,241/80,526
  6. Step 6: Final answer
    x = 174,149.13

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.