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Finding the Third Proportional to 117,454 and 181,365

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Solution

The third proportional to 117,454 and 181,365 is: 280,052.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,454 : 181,365 = 181,365 : x
  2. Step 2: Convert to fraction form
    117,454/181,365 = 181,365/x
  3. Step 3: Cross multiply
    117,454x = 181,365 × 181,365
  4. Step 4: Simplify right side
    117,454x = 32,893,263,225
  5. Step 5: Solve for x
    x = 32,893,263,225/117,454
  6. Step 6: Final answer
    x = 280,052.30

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.