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Finding the Third Proportional to 114,528 and 172,624

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Solution

The third proportional to 114,528 and 172,624 is: 260,190.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,528 : 172,624 = 172,624 : x
  2. Step 2: Convert to fraction form
    114,528/172,624 = 172,624/x
  3. Step 3: Cross multiply
    114,528x = 172,624 × 172,624
  4. Step 4: Simplify right side
    114,528x = 29,799,045,376
  5. Step 5: Solve for x
    x = 29,799,045,376/114,528
  6. Step 6: Final answer
    x = 260,190.04

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.