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Finding the Third Proportional to 73,562 and 116,537

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Solution

The third proportional to 73,562 and 116,537 is: 184,618.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,562 : 116,537 = 116,537 : x
  2. Step 2: Convert to fraction form
    73,562/116,537 = 116,537/x
  3. Step 3: Cross multiply
    73,562x = 116,537 × 116,537
  4. Step 4: Simplify right side
    73,562x = 13,580,872,369
  5. Step 5: Solve for x
    x = 13,580,872,369/73,562
  6. Step 6: Final answer
    x = 184,618.04

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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.