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Finding the Third Proportional to 119,151 and 175,078.13

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Solution

The third proportional to 119,151 and 175,078.13 is: 257,256.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,151 : 175,078.13 = 175,078.13 : x
  2. Step 2: Convert to fraction form
    119,151/175,078.13 = 175,078.13/x
  3. Step 3: Cross multiply
    119,151x = 175,078.13 × 175,078.13
  4. Step 4: Simplify right side
    119,151x = 30,652,349,853.52
  5. Step 5: Solve for x
    x = 30,652,349,853.52/119,151
  6. Step 6: Final answer
    x = 257,256.34

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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.