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Finding the Third Proportional to 73,552 and 116,531

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Solution

The third proportional to 73,552 and 116,531 is: 184,624.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,552 : 116,531 = 116,531 : x
  2. Step 2: Convert to fraction form
    73,552/116,531 = 116,531/x
  3. Step 3: Cross multiply
    73,552x = 116,531 × 116,531
  4. Step 4: Simplify right side
    73,552x = 13,579,473,961
  5. Step 5: Solve for x
    x = 13,579,473,961/73,552
  6. Step 6: Final answer
    x = 184,624.13

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.