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Finding the Third Proportional to 134,170 and 181,572

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Solution

The third proportional to 134,170 and 181,572 is: 245,721.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,170 : 181,572 = 181,572 : x
  2. Step 2: Convert to fraction form
    134,170/181,572 = 181,572/x
  3. Step 3: Cross multiply
    134,170x = 181,572 × 181,572
  4. Step 4: Simplify right side
    134,170x = 32,968,391,184
  5. Step 5: Solve for x
    x = 32,968,391,184/134,170
  6. Step 6: Final answer
    x = 245,721.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.