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Finding the Third Proportional to 134,307 and 181,737

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Solution

The third proportional to 134,307 and 181,737 is: 245,916.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,307 : 181,737 = 181,737 : x
  2. Step 2: Convert to fraction form
    134,307/181,737 = 181,737/x
  3. Step 3: Cross multiply
    134,307x = 181,737 × 181,737
  4. Step 4: Simplify right side
    134,307x = 33,028,337,169
  5. Step 5: Solve for x
    x = 33,028,337,169/134,307
  6. Step 6: Final answer
    x = 245,916.72

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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.