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Finding the Third Proportional to 86,572 and 180,072

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Solution

The third proportional to 86,572 and 180,072 is: 374,554.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,572 : 180,072 = 180,072 : x
  2. Step 2: Convert to fraction form
    86,572/180,072 = 180,072/x
  3. Step 3: Cross multiply
    86,572x = 180,072 × 180,072
  4. Step 4: Simplify right side
    86,572x = 32,425,925,184
  5. Step 5: Solve for x
    x = 32,425,925,184/86,572
  6. Step 6: Final answer
    x = 374,554.42

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.