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Finding the Third Proportional to 74,951 and 160,528

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Solution

The third proportional to 74,951 and 160,528 is: 343,814.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,951 : 160,528 = 160,528 : x
  2. Step 2: Convert to fraction form
    74,951/160,528 = 160,528/x
  3. Step 3: Cross multiply
    74,951x = 160,528 × 160,528
  4. Step 4: Simplify right side
    74,951x = 25,769,238,784
  5. Step 5: Solve for x
    x = 25,769,238,784/74,951
  6. Step 6: Final answer
    x = 343,814.48

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.