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Finding the Third Proportional to 119,151 and 174,717

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Solution

The third proportional to 119,151 and 174,717 is: 256,196.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,151 : 174,717 = 174,717 : x
  2. Step 2: Convert to fraction form
    119,151/174,717 = 174,717/x
  3. Step 3: Cross multiply
    119,151x = 174,717 × 174,717
  4. Step 4: Simplify right side
    119,151x = 30,526,030,089
  5. Step 5: Solve for x
    x = 30,526,030,089/119,151
  6. Step 6: Final answer
    x = 256,196.17

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.