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Finding the Third Proportional to 84,152 and 184,117

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Solution

The third proportional to 84,152 and 184,117 is: 402,831.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,152 : 184,117 = 184,117 : x
  2. Step 2: Convert to fraction form
    84,152/184,117 = 184,117/x
  3. Step 3: Cross multiply
    84,152x = 184,117 × 184,117
  4. Step 4: Simplify right side
    84,152x = 33,899,069,689
  5. Step 5: Solve for x
    x = 33,899,069,689/84,152
  6. Step 6: Final answer
    x = 402,831.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.