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Finding the Third Proportional to 134,324 and 181,776

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Solution

The third proportional to 134,324 and 181,776 is: 245,991.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,324 : 181,776 = 181,776 : x
  2. Step 2: Convert to fraction form
    134,324/181,776 = 181,776/x
  3. Step 3: Cross multiply
    134,324x = 181,776 × 181,776
  4. Step 4: Simplify right side
    134,324x = 33,042,514,176
  5. Step 5: Solve for x
    x = 33,042,514,176/134,324
  6. Step 6: Final answer
    x = 245,991.14

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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.