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Finding the Third Proportional to 75,024 and 163,528

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Solution

The third proportional to 75,024 and 163,528 is: 356,438.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,024 : 163,528 = 163,528 : x
  2. Step 2: Convert to fraction form
    75,024/163,528 = 163,528/x
  3. Step 3: Cross multiply
    75,024x = 163,528 × 163,528
  4. Step 4: Simplify right side
    75,024x = 26,741,406,784
  5. Step 5: Solve for x
    x = 26,741,406,784/75,024
  6. Step 6: Final answer
    x = 356,438.03

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.