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Finding the Third Proportional to 37,370 and 78,202

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Solution

The third proportional to 37,370 and 78,202 is: 163,648.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,370 : 78,202 = 78,202 : x
  2. Step 2: Convert to fraction form
    37,370/78,202 = 78,202/x
  3. Step 3: Cross multiply
    37,370x = 78,202 × 78,202
  4. Step 4: Simplify right side
    37,370x = 6,115,552,804
  5. Step 5: Solve for x
    x = 6,115,552,804/37,370
  6. Step 6: Final answer
    x = 163,648.72

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.