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Finding the Third Proportional to 115,038 and 176,572.69

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Solution

The third proportional to 115,038 and 176,572.69 is: 271,022.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,038 : 176,572.69 = 176,572.69 : x
  2. Step 2: Convert to fraction form
    115,038/176,572.69 = 176,572.69/x
  3. Step 3: Cross multiply
    115,038x = 176,572.69 × 176,572.69
  4. Step 4: Simplify right side
    115,038x = 31,177,913,970.97
  5. Step 5: Solve for x
    x = 31,177,913,970.97/115,038
  6. Step 6: Final answer
    x = 271,022.74

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.