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Finding the Third Proportional to 115,275.75 and 176,411.63

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Solution

The third proportional to 115,275.75 and 176,411.63 is: 269,970.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,275.75 : 176,411.63 = 176,411.63 : x
  2. Step 2: Convert to fraction form
    115,275.75/176,411.63 = 176,411.63/x
  3. Step 3: Cross multiply
    115,275.75x = 176,411.63 × 176,411.63
  4. Step 4: Simplify right side
    115,275.75x = 31,121,061,435.14
  5. Step 5: Solve for x
    x = 31,121,061,435.14/115,275.75
  6. Step 6: Final answer
    x = 269,970.58

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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.