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Finding the Third Proportional to 72,783.94 and 115,737

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Solution

The third proportional to 72,783.94 and 115,737 is: 184,038.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,783.94 : 115,737 = 115,737 : x
  2. Step 2: Convert to fraction form
    72,783.94/115,737 = 115,737/x
  3. Step 3: Cross multiply
    72,783.94x = 115,737 × 115,737
  4. Step 4: Simplify right side
    72,783.94x = 13,395,053,169
  5. Step 5: Solve for x
    x = 13,395,053,169/72,783.94
  6. Step 6: Final answer
    x = 184,038.59

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.