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Finding the Third Proportional to 80,528 and 118,424

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Solution

The third proportional to 80,528 and 118,424 is: 174,153.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,528 : 118,424 = 118,424 : x
  2. Step 2: Convert to fraction form
    80,528/118,424 = 118,424/x
  3. Step 3: Cross multiply
    80,528x = 118,424 × 118,424
  4. Step 4: Simplify right side
    80,528x = 14,024,243,776
  5. Step 5: Solve for x
    x = 14,024,243,776/80,528
  6. Step 6: Final answer
    x = 174,153.63

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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.