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Finding the Third Proportional to 73,370 and 116,711

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Solution

The third proportional to 73,370 and 116,711 is: 185,654.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,370 : 116,711 = 116,711 : x
  2. Step 2: Convert to fraction form
    73,370/116,711 = 116,711/x
  3. Step 3: Cross multiply
    73,370x = 116,711 × 116,711
  4. Step 4: Simplify right side
    73,370x = 13,621,457,521
  5. Step 5: Solve for x
    x = 13,621,457,521/73,370
  6. Step 6: Final answer
    x = 185,654.32

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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.