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Finding the Third Proportional to 115,696 and 174,528

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Solution

The third proportional to 115,696 and 174,528 is: 263,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,696 : 174,528 = 174,528 : x
  2. Step 2: Convert to fraction form
    115,696/174,528 = 174,528/x
  3. Step 3: Cross multiply
    115,696x = 174,528 × 174,528
  4. Step 4: Simplify right side
    115,696x = 30,460,022,784
  5. Step 5: Solve for x
    x = 30,460,022,784/115,696
  6. Step 6: Final answer
    x = 263,276.37

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.