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Finding the Third Proportional to 72,788 and 115,746

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Solution

The third proportional to 72,788 and 115,746 is: 184,056.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,788 : 115,746 = 115,746 : x
  2. Step 2: Convert to fraction form
    72,788/115,746 = 115,746/x
  3. Step 3: Cross multiply
    72,788x = 115,746 × 115,746
  4. Step 4: Simplify right side
    72,788x = 13,397,136,516
  5. Step 5: Solve for x
    x = 13,397,136,516/72,788
  6. Step 6: Final answer
    x = 184,056.94

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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.