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Finding the Third Proportional to 118,926 and 184,737

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Solution

The third proportional to 118,926 and 184,737 is: 286,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,926 : 184,737 = 184,737 : x
  2. Step 2: Convert to fraction form
    118,926/184,737 = 184,737/x
  3. Step 3: Cross multiply
    118,926x = 184,737 × 184,737
  4. Step 4: Simplify right side
    118,926x = 34,127,759,169
  5. Step 5: Solve for x
    x = 34,127,759,169/118,926
  6. Step 6: Final answer
    x = 286,966.34

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.